654937920000 has 3200 divisors, whose sum is σ = 3221418816000. Its totient is φ = 130056192000.

The previous prime is 654937919989. The next prime is 654937920019. The reversal of 654937920000 is 29739456.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 38525759992 + ... + 38525760008.

It is an arithmetic number, because the mean of its divisors is an integer number (1006693380).

Almost surely, 2^654937920000 is an apocalyptic number.

654937920000 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 654937920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610709408000).

654937920000 is an abundant number, since it is smaller than the sum of its proper divisors (2566480896000).

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

654937920000 is an equidigital number, since it uses as much as digits as its factorization.

654937920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 654937920000 in words is "six hundred fifty-four billion, nine hundred thirty-seven million, nine hundred twenty thousand".