36996654240 has 864 divisors, whose sum is σ = 161356615056. Its totient is φ = 7648542720.

The previous prime is 36996654199. The next prime is 36996654319. The reversal of 36996654240 is 4245669963.

36996654240 is a `hidden beast` number, since 3 + 6 + 9 + 96 + 6 + 542 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2565625104 + 34431029136 = 50652^2 + 185556^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48615460 + ... + 48616220.

Almost surely, 2^36996654240 is an apocalyptic number.

36996654240 is a gapful number since it is divisible by the number (30) 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 36996654240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80678307528).

36996654240 is an abundant number, since it is smaller than the sum of its proper divisors (124359960816).

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

36996654240 is a wasteful number, since it uses less digits than its factorization.

36996654240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 36996654240 in words is "thirty-six billion, nine hundred ninety-six million, six hundred fifty-four thousand, two hundred forty".