7957440000 has 500 divisors, whose sum is σ = 29775753084. Its totient is φ = 2115072000.

The previous prime is 7957439977. The next prime is 7957440013. The reversal of 7957440000 is 447597.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (500).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 25919847 + ... + 25920153.

Almost surely, 2^7957440000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7957440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14887876542).

7957440000 is an abundant number, since it is smaller than the sum of its proper divisors (21818313084).

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

7957440000 is an frugal number, since it uses more digits than its factorization.

7957440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 7957440000 is about 89204.4841922198. The cubic root of 7957440000 is about 1996.4470252562.

Adding to 7957440000 its reverse (447597), we get a palindrome (7957887597).

The spelling of 7957440000 in words is "seven billion, nine hundred fifty-seven million, four hundred forty thousand".