76387540014000 has 480 divisors, whose sum is σ = 275480735961600. Its totient is φ = 19707316992000.

The previous prime is 76387540013893. The next prime is 76387540014047. The reversal of 76387540014000 is 41004578367.

76387540014000 is a `hidden beast` number, since 7 + 6 + 38 + 75 + 400 + 140 + 0 + 0 = 666.

It is a super-2 number, since 2×76387540014000² (a number of 29 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 2185668526 + ... + 2185703474.

It is an arithmetic number, because the mean of its divisors is an integer number (573918199920).

Almost surely, 2^{76387540014000} 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 76387540014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137740367980800).

76387540014000 is an abundant number, since it is smaller than the sum of its proper divisors (199093195947600).

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

76387540014000 is a wasteful number, since it uses less digits than its factorization.

76387540014000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38926 (or 38907 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 76387540014000 in words is "seventy-six trillion, three hundred eighty-seven billion, five hundred forty million, fourteen thousand".