36642412500 has 144 divisors (see below), whose sum is σ = 108077457600. Its totient is φ = 9660640000.

The previous prime is 36642412489. The next prime is 36642412511. The reversal of 36642412500 is 521424663.

It is an interprime number because it is at equal distance from previous prime (36642412489) and next prime (36642412511).

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, 3332011 + ... + 3342989.

It is an arithmetic number, because the mean of its divisors is an integer number (750537900).

Almost surely, 2^36642412500 is an apocalyptic number.

36642412500 is a gapful number since it is divisible by the number (30) 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 36642412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54038728800).

36642412500 is an abundant number, since it is smaller than the sum of its proper divisors (71435045100).

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

36642412500 is a wasteful number, since it uses less digits than its factorization.

36642412500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11100 (or 11078 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 36642412500 in words is "thirty-six billion, six hundred forty-two million, four hundred twelve thousand, five hundred".