36638334720 has 1296 divisors, whose sum is σ = 154399688352. Its totient is φ = 8281128960.

The previous prime is 36638334659. The next prime is 36638334749. The reversal of 36638334720 is 2743383663.

36638334720 is a `hidden beast` number, since 3 + 6 + 638 + 3 + 3 + 4 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 893617900 + ... + 893617940.

It is an arithmetic number, because the mean of its divisors is an integer number (119135562).

Almost surely, 2^36638334720 is an apocalyptic number.

36638334720 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 36638334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77199844176).

36638334720 is an abundant number, since it is smaller than the sum of its proper divisors (117761353632).

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

36638334720 is a wasteful number, since it uses less digits than its factorization.

36638334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 36638334720 in words is "thirty-six billion, six hundred thirty-eight million, three hundred thirty-four thousand, seven hundred twenty".