76159687131648 has 320 divisors, whose sum is σ = 228363649683840. Its totient is φ = 25370711654400.

The previous prime is 76159687131629. The next prime is 76159687131653. The reversal of 76159687131648 is 84613178695167.

76159687131648 is a `hidden beast` number, since 7 + 6 + 1 + 596 + 8 + 7 + 13 + 16 + 4 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866592848 + ... + 1866633648.

It is an arithmetic number, because the mean of its divisors is an integer number (713636405262).

Almost surely, 2^{76159687131648} 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 76159687131648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114181824841920).

76159687131648 is an abundant number, since it is smaller than the sum of its proper divisors (152203962552192).

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

76159687131648 is an frugal number, since it uses more digits than its factorization.

76159687131648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42507 (or 42473 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 76159687131648 in words is "seventy-six trillion, one hundred fifty-nine billion, six hundred eighty-seven million, one hundred thirty-one thousand, six hundred forty-eight".