6958640000 has 160 divisors (see below), whose sum is σ = 18658433640. Its totient is φ = 2568960000.

The previous prime is 6958639999. The next prime is 6958640011. The reversal of 6958640000 is 468596.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1036655 + ... + 1043345.

Almost surely, 2^6958640000 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 6958640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9329216820).

6958640000 is an abundant number, since it is smaller than the sum of its proper divisors (11699793640).

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

6958640000 is an equidigital number, since it uses as much as digits as its factorization.

6958640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6738 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The square root of 6958640000 is about 83418.4631841177. The cubic root of 6958640000 is about 1909.1561745021.

The spelling of 6958640000 in words is "six billion, nine hundred fifty-eight million, six hundred forty thousand".