76140675072000 has 2736 divisors, whose sum is σ = 349087565099520. Its totient is φ = 15788408832000.

The previous prime is 76140675071971. The next prime is 76140675072167. The reversal of 76140675072000 is 27057604167.

76140675072000 is a `hidden beast` number, since 7 + 61 + 4 + 0 + 67 + 507 + 20 + 0 + 0 = 666.

It is a super-3 number, since 3×76140675072000³ (a number of 43 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 158957567761 + ... + 158957568239.

It is an arithmetic number, because the mean of its divisors is an integer number (127590484320).

Almost surely, 2^{76140675072000} is an apocalyptic number.

76140675072000 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 76140675072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174543782549760).

76140675072000 is an abundant number, since it is smaller than the sum of its proper divisors (272946890027520).

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

76140675072000 is an equidigital number, since it uses as much as digits as its factorization.

76140675072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 76140675072000 in words is "seventy-six trillion, one hundred forty billion, six hundred seventy-five million, seventy-two thousand".