76675066372080 has 1680 divisors, whose sum is σ = 299504569418208. Its totient is φ = 18229432320000.

The previous prime is 76675066372049. The next prime is 76675066372169. The reversal of 76675066372080 is 8027366057667.

76675066372080 is a `hidden beast` number, since 7 + 6 + 67 + 506 + 63 + 7 + 2 + 0 + 8 + 0 = 666.

It is a super-3 number, since 3×76675066372080³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76675066371999 and 76675066372017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 129300280264 + ... + 129300280856.

Almost surely, 2^{76675066372080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76675066372080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149752284709104).

76675066372080 is an abundant number, since it is smaller than the sum of its proper divisors (222829503046128).

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

76675066372080 is a wasteful number, since it uses less digits than its factorization.

76675066372080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 76675066372080 in words is "seventy-six trillion, six hundred seventy-five billion, sixty-six million, three hundred seventy-two thousand, eighty".