36106807296 has 192 divisors, whose sum is σ = 111260822400. Its totient is φ = 10199236608.

The previous prime is 36106807249. The next prime is 36106807307. The reversal of 36106807296 is 69270860163.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×36106807296² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3822996 + ... + 3832428.

It is an arithmetic number, because the mean of its divisors is an integer number (579483450).

Almost surely, 2^36106807296 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 36106807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55630411200).

36106807296 is an abundant number, since it is smaller than the sum of its proper divisors (75154015104).

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

36106807296 is an equidigital number, since it uses as much as digits as its factorization.

36106807296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9554 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 36106807296 in words is "thirty-six billion, one hundred six million, eight hundred seven thousand, two hundred ninety-six".