74680704000 has 1320 divisors, whose sum is σ = 325579411248. Its totient is φ = 17069875200.

The previous prime is 74680703983. The next prime is 74680704001. The reversal of 74680704000 is 40708647.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 (74680704001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10668671997 + ... + 10668672003.

Almost surely, 2^74680704000 is an apocalyptic number.

74680704000 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 74680704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162789705624).

74680704000 is an abundant number, since it is smaller than the sum of its proper divisors (250898707248).

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

74680704000 is an frugal number, since it uses more digits than its factorization.

74680704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 74680704000 in words is "seventy-four billion, six hundred eighty million, seven hundred four thousand".