48872720640 has 432 divisors, whose sum is σ = 169517521152. Its totient is φ = 11992301568.

The previous prime is 48872720629. The next prime is 48872720671. The reversal of 48872720640 is 4602727884.

It is a happy number.

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 48872720640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52158252 + ... + 52159188.

Almost surely, 2^48872720640 is an apocalyptic number.

48872720640 is a gapful number since it is divisible by the number (40) 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 48872720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84758760576).

48872720640 is an abundant number, since it is smaller than the sum of its proper divisors (120644800512).

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

48872720640 is a wasteful number, since it uses less digits than its factorization.

48872720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The spelling of 48872720640 in words is "forty-eight billion, eight hundred seventy-two million, seven hundred twenty thousand, six hundred forty".