79848361440 has 336 divisors, whose sum is σ = 284378856048. Its totient is φ = 21176598528.

The previous prime is 79848361409. The next prime is 79848361457. The reversal of 79848361440 is 4416384897.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22509747 + ... + 22513293.

It is an arithmetic number, because the mean of its divisors is an integer number (846365643).

Almost surely, 2^79848361440 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 79848361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142189428024).

79848361440 is an abundant number, since it is smaller than the sum of its proper divisors (204530494608).

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

79848361440 is a wasteful number, since it uses less digits than its factorization.

79848361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3773 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

It can be divided in two parts, 7984836 and 1440, that added together give a square (7986276 = 2826²).

The spelling of 79848361440 in words is "seventy-nine billion, eight hundred forty-eight million, three hundred sixty-one thousand, four hundred forty".