79967139840 has 576 divisors, whose sum is σ = 328547681280. Its totient is φ = 18274222080.

The previous prime is 79967139839. The next prime is 79967139877. The reversal of 79967139840 is 4893176997.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17415945 + ... + 17420535.

It is an arithmetic number, because the mean of its divisors is an integer number (570395280).

Almost surely, 2^79967139840 is an apocalyptic number.

79967139840 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 79967139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164273840640).

79967139840 is an abundant number, since it is smaller than the sum of its proper divisors (248580541440).

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

79967139840 is an equidigital number, since it uses as much as digits as its factorization.

79967139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4608 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 79967139840 in words is "seventy-nine billion, nine hundred sixty-seven million, one hundred thirty-nine thousand, eight hundred forty".