48635402760 has 864 divisors, whose sum is σ = 201318436800. Its totient is φ = 10124352000.

The previous prime is 48635402759. The next prime is 48635402789. The reversal of 48635402760 is 6720453684.

48635402760 is a `hidden beast` number, since 4 + 8 + 635 + 4 + 0 + 2 + 7 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 322088685 + ... + 322088835.

It is an arithmetic number, because the mean of its divisors is an integer number (233007450).

Almost surely, 2^48635402760 is an apocalyptic number.

48635402760 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 48635402760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100659218400).

48635402760 is an abundant number, since it is smaller than the sum of its proper divisors (152683034040).

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

48635402760 is a wasteful number, since it uses less digits than its factorization.

48635402760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 48635402760 in words is "forty-eight billion, six hundred thirty-five million, four hundred two thousand, seven hundred sixty".