7916399010 has 384 divisors, whose sum is σ = 24953370624. Its totient is φ = 1721917440.

The previous prime is 7916399009. The next prime is 7916399021. The reversal of 7916399010 is 109936197.

7916399010 is a `hidden beast` number, since 7 + 9 + 1 + 639 + 9 + 0 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22813657 + ... + 22814003.

It is an arithmetic number, because the mean of its divisors is an integer number (64982736).

Almost surely, 2^7916399010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7916399010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476685312).

7916399010 is an abundant number, since it is smaller than the sum of its proper divisors (17036971614).

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

7916399010 is a wasteful number, since it uses less digits than its factorization.

7916399010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 7916399010 is about 88974.1479869293. The cubic root of 7916399010 is about 1993.0088411575.

The spelling of 7916399010 in words is "seven billion, nine hundred sixteen million, three hundred ninety-nine thousand, ten".