74628702720 has 480 divisors, whose sum is σ = 303658939584. Its totient is φ = 16699392000.

The previous prime is 74628702671. The next prime is 74628702739. The reversal of 74628702720 is 2720782647.

It is a tau number, because it is divible by the number of its divisors (480).

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, 3283395 + ... + 3306045.

Almost surely, 2^74628702720 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 74628702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151829469792).

74628702720 is an abundant number, since it is smaller than the sum of its proper divisors (229030236864).

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

74628702720 is a wasteful number, since it uses less digits than its factorization.

74628702720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22704 (or 22685 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 74628702720 in words is "seventy-four billion, six hundred twenty-eight million, seven hundred two thousand, seven hundred twenty".