36934807908096 has 1296 divisors, whose sum is σ = 130692813189120. Its totient is φ = 10198628352000.

The previous prime is 36934807908077. The next prime is 36934807908101. The reversal of 36934807908096 is 69080970843963.

36934807908096 is a `hidden beast` number, since 3 + 69 + 3 + 480 + 7 + 9 + 0 + 80 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49180835721 + ... + 49180836471.

Almost surely, 2^{36934807908096} is an apocalyptic number.

36934807908096 is a gapful number since it is divisible by the number (36) 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 36934807908096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65346406594560).

36934807908096 is an abundant number, since it is smaller than the sum of its proper divisors (93758005281024).

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

36934807908096 is an frugal number, since it uses more digits than its factorization.

36934807908096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 36934807908096 in words is "thirty-six trillion, nine hundred thirty-four billion, eight hundred seven million, nine hundred eight thousand, ninety-six".