4800796176960 has 672 divisors, whose sum is σ = 19481865511680. Its totient is φ = 1062298976256.

The previous prime is 4800796176947. The next prime is 4800796176997. The reversal of 4800796176960 is 696716970084.

4800796176960 is a `hidden beast` number, since 4 + 8 + 0 + 0 + 7 + 9 + 617 + 6 + 9 + 6 + 0 = 666.

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 (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97932936 + ... + 97981944.

Almost surely, 2^{4800796176960} is an apocalyptic number.

4800796176960 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 4800796176960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9740932755840).

4800796176960 is an abundant number, since it is smaller than the sum of its proper divisors (14681069334720).

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

4800796176960 is a wasteful number, since it uses less digits than its factorization.

4800796176960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49195 (or 49182 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 4800796176960 in words is "four trillion, eight hundred billion, seven hundred ninety-six million, one hundred seventy-six thousand, nine hundred sixty".