76148042880000 has 3520 divisors, whose sum is σ = 341585723179008. Its totient is φ = 14615838720000.

The previous prime is 76148042879981. The next prime is 76148042880023. The reversal of 76148042880000 is 8824084167.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 92077439587 + ... + 92077440413.

Almost surely, 2^{76148042880000} is an apocalyptic number.

76148042880000 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 76148042880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170792861589504).

76148042880000 is an abundant number, since it is smaller than the sum of its proper divisors (265437680299008).

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

76148042880000 is a wasteful number, since it uses less digits than its factorization.

76148042880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 76148042880000 in words is "seventy-six trillion, one hundred forty-eight billion, forty-two million, eight hundred eighty thousand".