7940674560 has 1056 divisors, whose sum is σ = 34523228160. Its totient is φ = 1518206976.

The previous prime is 7940674543. The next prime is 7940674591. The reversal of 7940674560 is 654760497.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent 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, 345246709 + ... + 345246731.

Almost surely, 2^7940674560 is an apocalyptic number.

7940674560 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 7940674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17261614080).

7940674560 is an abundant number, since it is smaller than the sum of its proper divisors (26582553600).

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

7940674560 is a wasteful number, since it uses less digits than its factorization.

7940674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 7940674560 is about 89110.4626853660. The cubic root of 7940674560 is about 1995.0439422234.

The spelling of 7940674560 in words is "seven billion, nine hundred forty million, six hundred seventy-four thousand, five hundred sixty".