36826693632 has 480 divisors, whose sum is σ = 118904889600. Its totient is φ = 11220811776.

The previous prime is 36826693597. The next prime is 36826693637. The reversal of 36826693632 is 23639662863.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36826693637) 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, 443695063 + ... + 443695145.

It is an arithmetic number, because the mean of its divisors is an integer number (247718520).

Almost surely, 2^36826693632 is an apocalyptic number.

36826693632 is a gapful number since it is divisible by the number (32) 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 36826693632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59452444800).

36826693632 is an abundant number, since it is smaller than the sum of its proper divisors (82078195968).

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

36826693632 is an equidigital number, since it uses as much as digits as its factorization.

36826693632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 164 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 54.

The spelling of 36826693632 in words is "thirty-six billion, eight hundred twenty-six million, six hundred ninety-three thousand, six hundred thirty-two".