76634803365120 has 4320 divisors, whose sum is σ = 385012452375936. Its totient is φ = 14296891392000.

The previous prime is 76634803365089. The next prime is 76634803365143. The reversal of 76634803365120 is 2156330843667.

76634803365120 is a `hidden beast` number, since 7 + 6 + 6 + 3 + 480 + 3 + 36 + 5 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a super-2 number, since 2×76634803365120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 26879971695 + ... + 26879974545.

Almost surely, 2^{76634803365120} is an apocalyptic number.

76634803365120 is a gapful number since it is divisible by the number (70) 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 76634803365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192506226187968).

76634803365120 is an abundant number, since it is smaller than the sum of its proper divisors (308377649010816).

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

76634803365120 is a wasteful number, since it uses less digits than its factorization.

76634803365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2959 (or 2929 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 76634803365120 in words is "seventy-six trillion, six hundred thirty-four billion, eight hundred three million, three hundred sixty-five thousand, one hundred twenty".