36479106694656 has 640 divisors, whose sum is σ = 116134416921600. Its totient is φ = 11264600309760.

The previous prime is 36479106694631. The next prime is 36479106694661. The reversal of 36479106694656 is 65649660197463.

36479106694656 is a `hidden beast` number, since 3 + 6 + 479 + 1 + 0 + 6 + 6 + 94 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 12831200371 + ... + 12831203213.

It is an arithmetic number, because the mean of its divisors is an integer number (181460026440).

Almost surely, 2^{36479106694656} is an apocalyptic number.

36479106694656 is a gapful number since it is divisible by the number (36) 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 36479106694656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58067208460800).

36479106694656 is an abundant number, since it is smaller than the sum of its proper divisors (79655310226944).

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

36479106694656 is a wasteful number, since it uses less digits than its factorization.

36479106694656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3727 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 1058158080, while the sum is 72.

The spelling of 36479106694656 in words is "thirty-six trillion, four hundred seventy-nine billion, one hundred six million, six hundred ninety-four thousand, six hundred fifty-six".