7902737640 has 864 divisors, whose sum is σ = 33844641480. Its totient is φ = 1588543488.

The previous prime is 7902737629. The next prime is 7902737699. The reversal of 7902737640 is 467372097.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7290768996 + 611968644 = 85386^2 + 24738^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 215 ways as a sum of consecutive naturals, for example, 108256644 + ... + 108256716.

Almost surely, 2^7902737640 is an apocalyptic number.

7902737640 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 7902737640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16922320740).

7902737640 is an abundant number, since it is smaller than the sum of its proper divisors (25941903840).

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

7902737640 is a wasteful number, since it uses less digits than its factorization.

7902737640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 7902737640 is about 88897.3432673890. The cubic root of 7902737640 is about 1991.8617325522.

The spelling of 7902737640 in words is "seven billion, nine hundred two million, seven hundred thirty-seven thousand, six hundred forty".