36406802432 has 576 divisors, whose sum is σ = 103524220800. Its totient is φ = 12572098560.

The previous prime is 36406802423. The next prime is 36406802441. The reversal of 36406802432 is 23420860463.

It is an interprime number because it is at equal distance from previous prime (36406802423) and next prime (36406802441).

It is a super-2 number, since 2×36406802432² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 617064419 + ... + 617064477.

It is an arithmetic number, because the mean of its divisors is an integer number (179729550).

Almost surely, 2^36406802432 is an apocalyptic number.

36406802432 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 36406802432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51762110400).

36406802432 is an abundant number, since it is smaller than the sum of its proper divisors (67117418368).

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

36406802432 is a wasteful number, since it uses less digits than its factorization.

36406802432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 38.

It can be divided in two parts, 36406 and 802432, that added together give a palindrome (838838).

The spelling of 36406802432 in words is "thirty-six billion, four hundred six million, eight hundred two thousand, four hundred thirty-two".