8036690918400 has 1320 divisors, whose sum is σ = 30685791836304. Its totient is φ = 2077183180800.

The previous prime is 8036690918323. The next prime is 8036690918401. The reversal of 8036690918400 is 48190966308.

8036690918400 is a `hidden beast` number, since 8 + 0 + 3 + 66 + 90 + 91 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8036690918401) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 15425510140 + ... + 15425510660.

Almost surely, 2^{8036690918400} is an apocalyptic number.

8036690918400 is a gapful number since it is divisible by the number (80) 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 8036690918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15342895918152).

8036690918400 is an abundant number, since it is smaller than the sum of its proper divisors (22649100917904).

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

8036690918400 is a wasteful number, since it uses less digits than its factorization.

8036690918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 8036690918400 in words is "eight trillion, thirty-six billion, six hundred ninety million, nine hundred eighteen thousand, four hundred".