7764452640 has 576 divisors, whose sum is σ = 32123879424. Its totient is φ = 1734110208.

The previous prime is 7764452639. The next prime is 7764452659. The reversal of 7764452640 is 462544677.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 12791217 + ... + 12791823.

It is an arithmetic number, because the mean of its divisors is an integer number (55770624).

Almost surely, 2^7764452640 is an apocalyptic number.

7764452640 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7764452640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061939712).

7764452640 is an abundant number, since it is smaller than the sum of its proper divisors (24359426784).

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

7764452640 is a wasteful number, since it uses less digits than its factorization.

7764452640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The square root of 7764452640 is about 88116.1315537626. The cubic root of 7764452640 is about 1980.1751911101.

The spelling of 7764452640 in words is "seven billion, seven hundred sixty-four million, four hundred fifty-two thousand, six hundred forty".