36608858936640 has 1008 divisors, whose sum is σ = 138081181702464. Its totient is φ = 9226929438720.

The previous prime is 36608858936561. The next prime is 36608858936687. The reversal of 36608858936640 is 4663985880663.

36608858936640 is a `hidden beast` number, since 3 + 6 + 6 + 0 + 8 + 8 + 589 + 36 + 6 + 4 + 0 = 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 143 ways as a sum of consecutive naturals, for example, 3213270784 + ... + 3213282176.

It is an arithmetic number, because the mean of its divisors is an integer number (136985299308).

Almost surely, 2^{36608858936640} is an apocalyptic number.

36608858936640 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 36608858936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69040590851232).

36608858936640 is an abundant number, since it is smaller than the sum of its proper divisors (101472322765824).

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

36608858936640 is a wasteful number, since it uses less digits than its factorization.

36608858936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11530 (or 11477 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 36608858936640 in words is "thirty-six trillion, six hundred eight billion, eight hundred fifty-eight million, nine hundred thirty-six thousand, six hundred forty".