74876780160 has 1024 divisors, whose sum is σ = 345708518400. Its totient is φ = 14863564800.

The previous prime is 74876780129. The next prime is 74876780179. The reversal of 74876780160 is 6108767847.

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

It is a junction number, because it is equal to n+sod(n) for n = 74876780097 and 74876780106.

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, 26730760 + ... + 26733560.

It is an arithmetic number, because the mean of its divisors is an integer number (337605975).

Almost surely, 2^74876780160 is an apocalyptic number.

74876780160 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 74876780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172854259200).

74876780160 is an abundant number, since it is smaller than the sum of its proper divisors (270831738240).

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

74876780160 is a wasteful number, since it uses less digits than its factorization.

74876780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 74876780160 in words is "seventy-four billion, eight hundred seventy-six million, seven hundred eighty thousand, one hundred sixty".