36615065642400 has 432 divisors, whose sum is σ = 140013052653600. Its totient is φ = 8286292224000.

The previous prime is 36615065642387. The next prime is 36615065642413. The reversal of 36615065642400 is 424656051663.

It is an interprime number because it is at equal distance from previous prime (36615065642387) and next prime (36615065642413).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 36615065642400.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10336251 + ... + 13418949.

It is an arithmetic number, because the mean of its divisors is an integer number (324104288550).

Almost surely, 2^{36615065642400} is an apocalyptic number.

36615065642400 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 36615065642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70006526326800).

36615065642400 is an abundant number, since it is smaller than the sum of its proper divisors (103397987011200).

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

36615065642400 is a wasteful number, since it uses less digits than its factorization.

36615065642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082837 (or 3082817 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 36615065642400 in words is "thirty-six trillion, six hundred fifteen billion, sixty-five million, six hundred forty-two thousand, four hundred".