48764913600 has 336 divisors, whose sum is σ = 181369086080. Its totient is φ = 11371622400.

The previous prime is 48764913563. The next prime is 48764913611. The reversal of 48764913600 is 631946784.

48764913600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 48764913600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1165035 + ... + 1206165.

Almost surely, 2^48764913600 is an apocalyptic number.

48764913600 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 48764913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90684543040).

48764913600 is an abundant number, since it is smaller than the sum of its proper divisors (132604172480).

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

48764913600 is a wasteful number, since it uses less digits than its factorization.

48764913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41188 (or 41173 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 48764913600 in words is "forty-eight billion, seven hundred sixty-four million, nine hundred thirteen thousand, six hundred".