79009136640000 has 2700 divisors, whose sum is σ = 344539763642844. Its totient is φ = 18059231232000.

The previous prime is 79009136639947. The next prime is 79009136640029. The reversal of 79009136640000 is 4663190097.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (10!)² ⋅ 3!.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 11287019519997 + ... + 11287019520003.

Almost surely, 2^{79009136640000} is an apocalyptic number.

79009136640000 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 79009136640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172269881821422).

79009136640000 is an abundant number, since it is smaller than the sum of its proper divisors (265530627002844).

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

79009136640000 is an frugal number, since it uses more digits than its factorization.

79009136640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 79009136640000 in words is "seventy-nine trillion, nine billion, one hundred thirty-six million, six hundred forty thousand".