74802461760 has 336 divisors, whose sum is σ = 277645368000. Its totient is φ = 18375413760.

The previous prime is 74802461731. The next prime is 74802461771. The reversal of 74802461760 is 6716420847.

74802461760 is a `hidden beast` number, since 7 + 4 + 8 + 0 + 24 + 617 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21376491 + ... + 21379989.

It is an arithmetic number, because the mean of its divisors is an integer number (826325500).

Almost surely, 2^74802461760 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 74802461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138822684000).

74802461760 is an abundant number, since it is smaller than the sum of its proper divisors (202842906240).

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

74802461760 is a wasteful number, since it uses less digits than its factorization.

74802461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4106 (or 4093 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 74802461760 in words is "seventy-four billion, eight hundred two million, four hundred sixty-one thousand, seven hundred sixty".