36874532448000 has 2304 divisors, whose sum is σ = 156641557363200. Its totient is φ = 8462322892800.

The previous prime is 36874532447971. The next prime is 36874532448031. The reversal of 36874532448000 is 84423547863.

36874532448000 is a `hidden beast` number, since 3 + 68 + 7 + 4 + 532 + 4 + 48 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×36874532448000² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21576671146 + ... + 21576672854.

It is an arithmetic number, because the mean of its divisors is an integer number (67986787050).

Almost surely, 2^{36874532448000} is an apocalyptic number.

36874532448000 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 36874532448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78320778681600).

36874532448000 is an abundant number, since it is smaller than the sum of its proper divisors (119767024915200).

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

36874532448000 is a wasteful number, since it uses less digits than its factorization.

36874532448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 36874532448000 in words is "thirty-six trillion, eight hundred seventy-four billion, five hundred thirty-two million, four hundred forty-eight thousand".