7958010000 has 400 divisors, whose sum is σ = 27271270400. Its totient is φ = 1995840000.

The previous prime is 7958009993. The next prime is 7958010013. The reversal of 7958010000 is 108597.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 7958010000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 39989901 + ... + 39990099.

It is an arithmetic number, because the mean of its divisors is an integer number (68178176).

Almost surely, 2^7958010000 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 7958010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13635635200).

7958010000 is an abundant number, since it is smaller than the sum of its proper divisors (19313260400).

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

7958010000 is a wasteful number, since it uses less digits than its factorization.

7958010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 7958010000 is about 89207.6790416610. The cubic root of 7958010000 is about 1996.4946933351.

Adding to 7958010000 its reverse (108597), we get a palindrome (7958118597).

The spelling of 7958010000 in words is "seven billion, nine hundred fifty-eight million, ten thousand".