79954140240 has 480 divisors, whose sum is σ = 312720984576. Its totient is φ = 18127503360.

The previous prime is 79954140229. The next prime is 79954140263. The reversal of 79954140240 is 4204145997.

It is a super-3 number, since 3×79954140240³ (a number of 34 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7473295 + ... + 7483985.

Almost surely, 2^79954140240 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 79954140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156360492288).

79954140240 is an abundant number, since it is smaller than the sum of its proper divisors (232766844336).

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

79954140240 is a wasteful number, since it uses less digits than its factorization.

79954140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10787 (or 10778 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 79954140240 in words is "seventy-nine billion, nine hundred fifty-four million, one hundred forty thousand, two hundred forty".