36403164576 has 72 divisors (see below), whose sum is σ = 103603237920. Its totient is φ = 12124807296.

The previous prime is 36403164571. The next prime is 36403164607. The reversal of 36403164576 is 67546130463.

36403164576 is a `hidden beast` number, since 3 + 6 + 40 + 31 + 6 + 4 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×36403164576³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (36403164571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320245 + ... + 418763.

It is an arithmetic number, because the mean of its divisors is an integer number (1438933860).

Almost surely, 2^36403164576 is an apocalyptic number.

36403164576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

36403164576 is an abundant number, since it is smaller than the sum of its proper divisors (67200073344).

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

36403164576 is a wasteful number, since it uses less digits than its factorization.

36403164576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99818 (or 99807 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 36403164576 in words is "thirty-six billion, four hundred three million, one hundred sixty-four thousand, five hundred seventy-six".