36293624640 has 1344 divisors, whose sum is σ = 167006601216. Its totient is φ = 7291772928.

The previous prime is 36293624629. The next prime is 36293624641. The reversal of 36293624640 is 4642639263.

36293624640 is a `hidden beast` number, since 362 + 9 + 3 + 6 + 246 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36293624641) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 162751569 + ... + 162751791.

It is an arithmetic number, because the mean of its divisors is an integer number (124260864).

Almost surely, 2^36293624640 is an apocalyptic number.

36293624640 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 36293624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83503300608).

36293624640 is an abundant number, since it is smaller than the sum of its proper divisors (130712976576).

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

36293624640 is a wasteful number, since it uses less digits than its factorization.

36293624640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 36293624640 in words is "thirty-six billion, two hundred ninety-three million, six hundred twenty-four thousand, six hundred forty".