7715993040 has 320 divisors, whose sum is σ = 30693035520. Its totient is φ = 1745141760.

The previous prime is 7715993009. The next prime is 7715993053. The reversal of 7715993040 is 403995177.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1464010 + ... + 1469270.

It is an arithmetic number, because the mean of its divisors is an integer number (95915736).

Almost surely, 2^7715993040 is an apocalyptic number.

7715993040 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 7715993040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15346517760).

7715993040 is an abundant number, since it is smaller than the sum of its proper divisors (22977042480).

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

7715993040 is a wasteful number, since it uses less digits than its factorization.

7715993040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5375 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 7715993040 is about 87840.7254068408. The cubic root of 7715993040 is about 1976.0470260954.

The spelling of 7715993040 in words is "seven billion, seven hundred fifteen million, nine hundred ninety-three thousand, forty".