9290290464 has 576 divisors, whose sum is σ = 35546434560. Its totient is φ = 2317870080.

The previous prime is 9290290381. The next prime is 9290290501. The reversal of 9290290464 is 4640920929.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13444359 + ... + 13445049.

It is an arithmetic number, because the mean of its divisors is an integer number (61712560).

Almost surely, 2^9290290464 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 9290290464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17773217280).

9290290464 is an abundant number, since it is smaller than the sum of its proper divisors (26256144096).

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

9290290464 is a wasteful number, since it uses less digits than its factorization.

9290290464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 9290290464 is about 96386.1528644027. The cubic root of 9290290464 is about 2102.2116128816.

The spelling of 9290290464 in words is "nine billion, two hundred ninety million, two hundred ninety thousand, four hundred sixty-four".