74730202560 has 448 divisors, whose sum is σ = 285035304960. Its totient is φ = 18322329600.

The previous prime is 74730202559. The next prime is 74730202567. The reversal of 74730202560 is 6520203747.

It is a happy number.

74730202560 is a `hidden beast` number, since 7 + 4 + 73 + 0 + 20 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74730202567) 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, 31785385 + ... + 31787735.

It is an arithmetic number, because the mean of its divisors is an integer number (636239520).

Almost surely, 2^74730202560 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 74730202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142517652480).

74730202560 is an abundant number, since it is smaller than the sum of its proper divisors (210305102400).

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

74730202560 is a wasteful number, since it uses less digits than its factorization.

74730202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2657 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 74730202560 in words is "seventy-four billion, seven hundred thirty million, two hundred two thousand, five hundred sixty".