36618253408 has 192 divisors, whose sum is σ = 81935400960. Its totient is φ = 15969139200.

The previous prime is 36618253393. The next prime is 36618253409. The reversal of 36618253408 is 80435281663.

It is a super-2 number, since 2×36618253408² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36618253409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263440603 + ... + 263440741.

It is an arithmetic number, because the mean of its divisors is an integer number (426746880).

Almost surely, 2^36618253408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36618253408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40967700480).

36618253408 is an abundant number, since it is smaller than the sum of its proper divisors (45317147552).

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

36618253408 is a wasteful number, since it uses less digits than its factorization.

36618253408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 36618253408 in words is "thirty-six billion, six hundred eighteen million, two hundred fifty-three thousand, four hundred eight".