36450272640384 has 512 divisors, whose sum is σ = 111821600563200. Its totient is φ = 11676607488000.

The previous prime is 36450272640367. The next prime is 36450272640407. The reversal of 36450272640384 is 48304627205463.

36450272640384 is a `hidden beast` number, since 3 + 6 + 4 + 502 + 72 + 64 + 0 + 3 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 36450272640384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14288619909 + ... + 14288622459.

It is an arithmetic number, because the mean of its divisors is an integer number (218401563600).

Almost surely, 2^{36450272640384} 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 36450272640384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55910800281600).

36450272640384 is an abundant number, since it is smaller than the sum of its proper divisors (75371327922816).

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

36450272640384 is a wasteful number, since it uses less digits than its factorization.

36450272640384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3479 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 54.

The spelling of 36450272640384 in words is "thirty-six trillion, four hundred fifty billion, two hundred seventy-two million, six hundred forty thousand, three hundred eighty-four".