7950954816 has 420 divisors, whose sum is σ = 27759624948. Its totient is φ = 2243469312.

The previous prime is 7950954793. The next prime is 7950954829. The reversal of 7950954816 is 6184590597.

7950954816 is a `hidden beast` number, since 7 + 9 + 509 + 54 + 81 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 609892416 + 7341062400 = 24696^2 + 85680^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28703670 + ... + 28703946.

Almost surely, 2^7950954816 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 7950954816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13879812474).

7950954816 is an abundant number, since it is smaller than the sum of its proper divisors (19808670132).

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

7950954816 is a wasteful number, since it uses less digits than its factorization.

7950954816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 7950954816 is about 89168.1266821278. The cubic root of 7950954816 is about 1995.9045205819.

The spelling of 7950954816 in words is "seven billion, nine hundred fifty million, nine hundred fifty-four thousand, eight hundred sixteen".