79626240000 has 600 divisors, whose sum is σ = 298093095300. Its totient is φ = 21233664000.

The previous prime is 79626239951. The next prime is 79626240049. The reversal of 79626240000 is 4262697.

It is a happy number.

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 6! ⋅ (5!)³ ⋅ (2!)⁶.

79626240000 is a `hidden beast` number, since 7 + 9 + 626 + 24 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79626239951) and next prime (79626240049).

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15925247998 + ... + 15925248002.

Almost surely, 2^79626240000 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 79626240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149046547650).

79626240000 is an abundant number, since it is smaller than the sum of its proper divisors (218466855300).

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

79626240000 is an frugal number, since it uses more digits than its factorization.

79626240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 79626240000 in words is "seventy-nine billion, six hundred twenty-six million, two hundred forty thousand".