48640804800 has 672 divisors, whose sum is σ = 192338260992. Its totient is φ = 10521477120.

The previous prime is 48640804781. The next prime is 48640804841. The reversal of 48640804800 is 840804684.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87326122 + ... + 87326678.

Almost surely, 2^48640804800 is an apocalyptic number.

48640804800 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 48640804800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96169130496).

48640804800 is an abundant number, since it is smaller than the sum of its proper divisors (143697456192).

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

48640804800 is a wasteful number, since it uses less digits than its factorization.

48640804800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 48640804800 in words is "forty-eight billion, six hundred forty million, eight hundred four thousand, eight hundred".