36642420360 has 1280 divisors, whose sum is σ = 165486182400. Its totient is φ = 7054387200.

The previous prime is 36642420359. The next prime is 36642420371. The reversal of 36642420360 is 6302424663.

36642420360 is a `hidden beast` number, since 3 + 6 + 642 + 4 + 2 + 0 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 173660655 + ... + 173660865.

It is an arithmetic number, because the mean of its divisors is an integer number (129286080).

Almost surely, 2^36642420360 is an apocalyptic number.

36642420360 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 36642420360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82743091200).

36642420360 is an abundant number, since it is smaller than the sum of its proper divisors (128843762040).

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

36642420360 is a wasteful number, since it uses less digits than its factorization.

36642420360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 36642420360 in words is "thirty-six billion, six hundred forty-two million, four hundred twenty thousand, three hundred sixty".