73979414080 has 448 divisors, whose sum is σ = 222870735360. Its totient is φ = 22973644800.

The previous prime is 73979414071. The next prime is 73979414081. The reversal of 73979414080 is 8041497937.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (73979414081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47452341 + ... + 47453899.

It is an arithmetic number, because the mean of its divisors is an integer number (497479320).

Almost surely, 2^73979414080 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 73979414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111435367680).

73979414080 is an abundant number, since it is smaller than the sum of its proper divisors (148891321280).

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

73979414080 is a wasteful number, since it uses less digits than its factorization.

73979414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1668 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 73979414080 in words is "seventy-three billion, nine hundred seventy-nine million, four hundred fourteen thousand, eighty".