7994059661952 has 896 divisors, whose sum is σ = 30935135280000. Its totient is φ = 1997318725632.

The previous prime is 7994059661941. The next prime is 7994059661983. The reversal of 7994059661952 is 2591669504997.

7994059661952 is a `hidden beast` number, since 79 + 9 + 405 + 9 + 6 + 61 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 161311674 + ... + 161361222.

It is an arithmetic number, because the mean of its divisors is an integer number (34525820625).

Almost surely, 2^{7994059661952} is an apocalyptic number.

7994059661952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7994059661952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467567640000).

7994059661952 is an abundant number, since it is smaller than the sum of its proper divisors (22941075618048).

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

7994059661952 is a wasteful number, since it uses less digits than its factorization.

7994059661952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49620 (or 49593 counting only the distinct ones).

The product of its (nonzero) digits is 330674400, while the sum is 72.

The spelling of 7994059661952 in words is "seven trillion, nine hundred ninety-four billion, fifty-nine million, six hundred sixty-one thousand, nine hundred fifty-two".