1007747664 has 80 divisors (see below), whose sum is σ = 3245744640. Its totient is φ = 261751680.

The previous prime is 1007747617. The next prime is 1007747677. The reversal of 1007747664 is 4667477001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132634 + ... + 140025.

It is an arithmetic number, because the mean of its divisors is an integer number (40571808).

Almost surely, 2^1007747664 is an apocalyptic number.

1007747664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1007747664 is an abundant number, since it is smaller than the sum of its proper divisors (2237996976).

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

1007747664 is a wasteful number, since it uses less digits than its factorization.

1007747664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272688 (or 272682 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 1007747664 is about 31745.0415655737. The cubic root of 1007747664 is about 1002.5759136382.

The spelling of 1007747664 in words is "one billion, seven million, seven hundred forty-seven thousand, six hundred sixty-four".