36780848832 has 168 divisors, whose sum is σ = 121912751856. Its totient is φ = 9700411392.

The previous prime is 36780848827. The next prime is 36780848837. The reversal of 36780848832 is 23884808763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (36780848827) and next prime (36780848837).

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (36780848837) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28063 + ... + 272670.

It is an arithmetic number, because the mean of its divisors is an integer number (725671142).

Almost surely, 2^36780848832 is an apocalyptic number.

36780848832 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 36780848832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60956375928).

36780848832 is an abundant number, since it is smaller than the sum of its proper divisors (85131903024).

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

36780848832 is a wasteful number, since it uses less digits than its factorization.

36780848832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300775 (or 300758 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 57.

The spelling of 36780848832 in words is "thirty-six billion, seven hundred eighty million, eight hundred forty-eight thousand, eight hundred thirty-two".