36357672615264 has 1440 divisors, whose sum is σ = 144919869937920. Its totient is φ = 8701105121280.

The previous prime is 36357672615263. The next prime is 36357672615269. The reversal of 36357672615264 is 46251627675363.

36357672615264 is a `hidden beast` number, since 3 + 6 + 3 + 5 + 7 + 6 + 7 + 2 + 615 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36357672615263) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 24516299067 + ... + 24516300549.

It is an arithmetic number, because the mean of its divisors is an integer number (100638798568).

Almost surely, 2^{36357672615264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36357672615264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72459934968960).

36357672615264 is an abundant number, since it is smaller than the sum of its proper divisors (108562197322656).

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

36357672615264 is a wasteful number, since it uses less digits than its factorization.

36357672615264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 2378 counting only the distinct ones).

The product of its digits is 228614400, while the sum is 63.

The spelling of 36357672615264 in words is "thirty-six trillion, three hundred fifty-seven billion, six hundred seventy-two million, six hundred fifteen thousand, two hundred sixty-four".