73408314880 has 320 divisors, whose sum is σ = 191340610560. Its totient is φ = 26921631744.

The previous prime is 73408314841. The next prime is 73408314913. The reversal of 73408314880 is 8841380437.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 73408314880.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372630942 + ... + 372631138.

It is an arithmetic number, because the mean of its divisors is an integer number (597939408).

Almost surely, 2^73408314880 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 73408314880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95670305280).

73408314880 is an abundant number, since it is smaller than the sum of its proper divisors (117932295680).

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

73408314880 is a wasteful number, since it uses less digits than its factorization.

73408314880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 73408314880 in words is "seventy-three billion, four hundred eight million, three hundred fourteen thousand, eight hundred eighty".