76139039340000 has 8640 divisors, whose sum is σ = 396447638146560. Its totient is φ = 13974405120000.

The previous prime is 76139039339999. The next prime is 76139039340011. The reversal of 76139039340000 is 4393093167.

It is a happy number.

76139039340000 is a `hidden beast` number, since 76 + 1 + 3 + 90 + 3 + 93 + 400 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 1857049739980 + ... + 1857049740020.

It is an arithmetic number, because the mean of its divisors is an integer number (45885143304).

Almost surely, 2^{76139039340000} is an apocalyptic number.

76139039340000 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 76139039340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198223819073280).

76139039340000 is an abundant number, since it is smaller than the sum of its proper divisors (320308598806560).

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

76139039340000 is a wasteful number, since it uses less digits than its factorization.

76139039340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The spelling of 76139039340000 in words is "seventy-six trillion, one hundred thirty-nine billion, thirty-nine million, three hundred forty thousand".