74625408000 has 1408 divisors, whose sum is σ = 326178478080. Its totient is φ = 16588800000.

The previous prime is 74625407963. The next prime is 74625408019. The reversal of 74625408000 is 80452647.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

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, 494207925 + ... + 494208075.

Almost surely, 2^74625408000 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 74625408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163089239040).

74625408000 is an abundant number, since it is smaller than the sum of its proper divisors (251553070080).

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

74625408000 is a wasteful number, since it uses less digits than its factorization.

74625408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 74625408000 in words is "seventy-four billion, six hundred twenty-five million, four hundred eight thousand".