36393477120 has 1408 divisors, whose sum is σ = 174314004480. Its totient is φ = 6954024960.

The previous prime is 36393477077. The next prime is 36393477137. The reversal of 36393477120 is 2177439363.

It is a happy number.

36393477120 is a `hidden beast` number, since 3 + 639 + 3 + 4 + 7 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 138378109 + ... + 138378371.

It is an arithmetic number, because the mean of its divisors is an integer number (123802560).

Almost surely, 2^36393477120 is an apocalyptic number.

36393477120 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 36393477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87157002240).

36393477120 is an abundant number, since it is smaller than the sum of its proper divisors (137920527360).

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

36393477120 is a wasteful number, since it uses less digits than its factorization.

36393477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 36393477120 in words is "thirty-six billion, three hundred ninety-three million, four hundred seventy-seven thousand, one hundred twenty".