79713908951040 has 4608 divisors, whose sum is σ = 372621150720000. Its totient is φ = 15295882199040.

The previous prime is 79713908951029. The next prime is 79713908951051. The reversal of 79713908951040 is 4015980931797.

79713908951040 is a `hidden beast` number, since 7 + 9 + 7 + 1 + 39 + 0 + 89 + 510 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79713908951029) and next prime (79713908951051).

It is a tau number, because it is divible by the number of its divisors (4608).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 573481359291 + ... + 573481359429.

It is an arithmetic number, because the mean of its divisors is an integer number (80863965000).

Almost surely, 2^{79713908951040} is an apocalyptic number.

79713908951040 is a gapful number since it is divisible by the number (70) 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 79713908951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186310575360000).

79713908951040 is an abundant number, since it is smaller than the sum of its proper divisors (292907241768960).

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

79713908951040 is a wasteful number, since it uses less digits than its factorization.

79713908951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 79713908951040 in words is "seventy-nine trillion, seven hundred thirteen billion, nine hundred eight million, nine hundred fifty-one thousand, forty".