36567296640 has 768 divisors, whose sum is σ = 158652432000. Its totient is φ = 7914848256.

The previous prime is 36567296593. The next prime is 36567296641. The reversal of 36567296640 is 4669276563.

36567296640 is a `hidden beast` number, since 36 + 567 + 2 + 9 + 6 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36567296641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16086544 + ... + 16088816.

Almost surely, 2^36567296640 is an apocalyptic number.

36567296640 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 36567296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79326216000).

36567296640 is an abundant number, since it is smaller than the sum of its proper divisors (122085135360).

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

36567296640 is a wasteful number, since it uses less digits than its factorization.

36567296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2334 (or 2309 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 36567296640 in words is "thirty-six billion, five hundred sixty-seven million, two hundred ninety-six thousand, six hundred forty".