648735265200 has 240 divisors, whose sum is σ = 2295735206400. Its totient is φ = 155278156800.

The previous prime is 648735265177. The next prime is 648735265223. The reversal of 648735265200 is 2562537846.

It is an interprime number because it is at equal distance from previous prime (648735265177) and next prime (648735265223).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×648735265200² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 648735265200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 731746 + ... + 1353854.

It is an arithmetic number, because the mean of its divisors is an integer number (9565563360).

Almost surely, 2^648735265200 is an apocalyptic number.

648735265200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648735265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147867603200).

648735265200 is an abundant number, since it is smaller than the sum of its proper divisors (1646999941200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

648735265200 is a wasteful number, since it uses less digits than its factorization.

648735265200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622220 (or 622209 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 648735265200 in words is "six hundred forty-eight billion, seven hundred thirty-five million, two hundred sixty-five thousand, two hundred".