361040307264 has 560 divisors, whose sum is σ = 1344182224000. Its totient is φ = 95213325312.

The previous prime is 361040307241. The next prime is 361040307269. The reversal of 361040307264 is 462703040163.

It is a happy number.

361040307264 is a `hidden beast` number, since 3 + 610 + 4 + 0 + 30 + 7 + 2 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (361040307269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23107647 + ... + 23123265.

It is an arithmetic number, because the mean of its divisors is an integer number (2400325400).

Almost surely, 2^361040307264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361040307264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672091112000).

361040307264 is an abundant number, since it is smaller than the sum of its proper divisors (983141916736).

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

361040307264 is a wasteful number, since it uses less digits than its factorization.

361040307264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15677 (or 15644 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 361040307264 in words is "three hundred sixty-one billion, forty million, three hundred seven thousand, two hundred sixty-four".