7900151616 has 336 divisors, whose sum is σ = 27403958400. Its totient is φ = 2255662080.

The previous prime is 7900151593. The next prime is 7900151627. The reversal of 7900151616 is 6161510097.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×7900151616² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 5333596 + ... + 5335076.

It is an arithmetic number, because the mean of its divisors is an integer number (81559400).

Almost surely, 2^7900151616 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 7900151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13701979200).

7900151616 is an abundant number, since it is smaller than the sum of its proper divisors (19503806784).

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

7900151616 is an equidigital number, since it uses as much as digits as its factorization.

7900151616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 7900151616 is about 88882.7970756996. The cubic root of 7900151616 is about 1991.6444422730.

The spelling of 7900151616 in words is "seven billion, nine hundred million, one hundred fifty-one thousand, six hundred sixteen".