1009764992 has 32 divisors (see below), whose sum is σ = 2030469120. Its totient is φ = 500157184.

The previous prime is 1009764983. The next prime is 1009765019. The reversal of 1009764992 is 2994679001.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23168 + ... + 50559.

It is an arithmetic number, because the mean of its divisors is an integer number (63452160).

Almost surely, 2^1009764992 is an apocalyptic number.

It is an amenable number.

1009764992 is an abundant number, since it is smaller than the sum of its proper divisors (1020704128).

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

1009764992 is an equidigital number, since it uses as much as digits as its factorization.

1009764992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73848 (or 73836 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The square root of 1009764992 is about 31776.7995871202. The cubic root of 1009764992 is about 1003.2444594320.

The spelling of 1009764992 in words is "one billion, nine million, seven hundred sixty-four thousand, nine hundred ninety-two".