1137879933696 has 576 divisors, whose sum is σ = 3768525089280. Its totient is φ = 339954278400.

The previous prime is 1137879933629. The next prime is 1137879933709. The reversal of 1137879933696 is 6963399787311.

1137879933696 is a `hidden beast` number, since 1 + 137 + 8 + 79 + 9 + 336 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 449575951 + ... + 449578481.

It is an arithmetic number, because the mean of its divisors is an integer number (6542578280).

Almost surely, 2^{1137879933696} is an apocalyptic number.

1137879933696 is a gapful number since it is divisible by the number (16) 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 1137879933696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1884262544640).

1137879933696 is an abundant number, since it is smaller than the sum of its proper divisors (2630645155584).

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

1137879933696 is an frugal number, since it uses more digits than its factorization.

1137879933696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2620 counting only the distinct ones).

The product of its digits is 277766496, while the sum is 72.

The spelling of 1137879933696 in words is "one trillion, one hundred thirty-seven billion, eight hundred seventy-nine million, nine hundred thirty-three thousand, six hundred ninety-six".