900772429824 has 576 divisors, whose sum is σ = 2818403452800. Its totient is φ = 276651048960.

The previous prime is 900772429787. The next prime is 900772429829. The reversal of 900772429824 is 428924277009.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×900772429824² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (900772429829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11402182617 + ... + 11402182695.

It is an arithmetic number, because the mean of its divisors is an integer number (4893061550).

Almost surely, 2^900772429824 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 900772429824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409201726400).

900772429824 is an abundant number, since it is smaller than the sum of its proper divisors (1917631022976).

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

900772429824 is an equidigital number, since it uses as much as digits as its factorization.

900772429824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 900772429824 in words is "nine hundred billion, seven hundred seventy-two million, four hundred twenty-nine thousand, eight hundred twenty-four".