74781289390080 has 1792 divisors, whose sum is σ = 311059790254080. Its totient is φ = 14896859185152.

The previous prime is 74781289390069. The next prime is 74781289390103. The reversal of 74781289390080 is 8009398218747.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a junction number, because it is equal to n+sod(n) for n = 74781289389993 and 74781289390020.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111116328624 + ... + 111116329296.

It is an arithmetic number, because the mean of its divisors is an integer number (173582472240).

Almost surely, 2^{74781289390080} is an apocalyptic number.

74781289390080 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 74781289390080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155529895127040).

74781289390080 is an abundant number, since it is smaller than the sum of its proper divisors (236278500864000).

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

74781289390080 is a wasteful number, since it uses less digits than its factorization.

74781289390080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 66.

The spelling of 74781289390080 in words is "seventy-four trillion, seven hundred eighty-one billion, two hundred eighty-nine million, three hundred ninety thousand, eighty".