900782267563368 has 96 divisors (see below), whose sum is σ = 2440754884900800. Its totient is φ = 300120942760704.

The previous prime is 900782267563363. The next prime is 900782267563403. The reversal of 900782267563368 is 863365762287009.

900782267563368 is a `hidden beast` number, since 9 + 0 + 0 + 7 + 8 + 2 + 26 + 7 + 563 + 36 + 8 = 666.

It is a super-2 number, since 2×900782267563368² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 900782267563296 and 900782267563305.

It is not an unprimeable number, because it can be changed into a prime (900782267563363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357194171 + ... + 1357857717.

It is an arithmetic number, because the mean of its divisors is an integer number (25424530051050).

Almost surely, 2^{900782267563368} is an apocalyptic number.

It is an amenable number.

900782267563368 is an abundant number, since it is smaller than the sum of its proper divisors (1539972617337432).

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

900782267563368 is a wasteful number, since it uses less digits than its factorization.

900782267563368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672311 (or 672304 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 900782267563368 in words is "nine hundred trillion, seven hundred eighty-two billion, two hundred sixty-seven million, five hundred sixty-three thousand, three hundred sixty-eight".