76867148144 has 80 divisors (see below), whose sum is σ = 162037248000. Its totient is φ = 35190132480.

The previous prime is 76867148081. The next prime is 76867148161. The reversal of 76867148144 is 44184176867.

It is a self number, because there is not a number n which added to its sum of digits gives 76867148144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7807577 + ... + 7817415.

It is an arithmetic number, because the mean of its divisors is an integer number (2025465600).

Almost surely, 2^76867148144 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 76867148144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81018624000).

76867148144 is an abundant number, since it is smaller than the sum of its proper divisors (85170099856).

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

76867148144 is a wasteful number, since it uses less digits than its factorization.

76867148144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10726 (or 10720 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 56.

The spelling of 76867148144 in words is "seventy-six billion, eight hundred sixty-seven million, one hundred forty-eight thousand, one hundred forty-four".