79461007964640 has 576 divisors, whose sum is σ = 282992357007360. Its totient is φ = 20280391925760.

The previous prime is 79461007964623. The next prime is 79461007964647. The reversal of 79461007964640 is 4646970016497.

79461007964640 is a `hidden beast` number, since 7 + 9 + 4 + 610 + 0 + 7 + 9 + 6 + 4 + 6 + 4 + 0 = 666.

It is a super-4 number, since 4×79461007964640⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79461007964647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7045034521 + ... + 7045045799.

It is an arithmetic number, because the mean of its divisors is an integer number (491306175360).

Almost surely, 2^{79461007964640} 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 79461007964640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141496178503680).

79461007964640 is an abundant number, since it is smaller than the sum of its proper divisors (203531349042720).

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

79461007964640 is a wasteful number, since it uses less digits than its factorization.

79461007964640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13055 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 79461007964640 in words is "seventy-nine trillion, four hundred sixty-one billion, seven million, nine hundred sixty-four thousand, six hundred forty".