76114354704480 has 384 divisors, whose sum is σ = 278039352729600. Its totient is φ = 19410730555392.

The previous prime is 76114354704463. The next prime is 76114354704497. The reversal of 76114354704480 is 8440745341167.

76114354704480 is a `hidden beast` number, since 7 + 6 + 1 + 1 + 43 + 54 + 70 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (76114354704463) and next prime (76114354704497).

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 63 ways as a sum of consecutive naturals, for example, 505369026 + ... + 505519614.

It is an arithmetic number, because the mean of its divisors is an integer number (724060814400).

Almost surely, 2^{76114354704480} 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 76114354704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139019676364800).

76114354704480 is an abundant number, since it is smaller than the sum of its proper divisors (201924998025120).

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

76114354704480 is a wasteful number, since it uses less digits than its factorization.

76114354704480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155723 (or 155709 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 76114354704480 in words is "seventy-six trillion, one hundred fourteen billion, three hundred fifty-four million, seven hundred four thousand, four hundred eighty".