365753766042 has 384 divisors, whose sum is σ = 1009607639040. Its totient is φ = 93405312000.

The previous prime is 365753766031. The next prime is 365753766043. The reversal of 365753766042 is 240667357563.

365753766042 is a `hidden beast` number, since 3 + 6 + 5 + 7 + 537 + 6 + 60 + 42 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 365753766042.

It is not an unprimeable number, because it can be changed into a prime (365753766043) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 401485567 + ... + 401486477.

It is an arithmetic number, because the mean of its divisors is an integer number (2629186560).

Almost surely, 2^365753766042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365753766042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504803819520).

365753766042 is an abundant number, since it is smaller than the sum of its proper divisors (643853872998).

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

365753766042 is a wasteful number, since it uses less digits than its factorization.

365753766042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 54.

The spelling of 365753766042 in words is "three hundred sixty-five billion, seven hundred fifty-three million, seven hundred sixty-six thousand, forty-two".