74758190400 has 756 divisors, whose sum is σ = 285713428572. Its totient is φ = 18533007360.

The previous prime is 74758190383. The next prime is 74758190431. The reversal of 74758190400 is 409185747.

It is a happy number.

74758190400 is a `hidden beast` number, since 7 + 4 + 7 + 58 + 190 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3353799744 + 71404390656 = 57912^2 + 267216^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 379483102 + ... + 379483298.

Almost surely, 2^74758190400 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 74758190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142856714286).

74758190400 is an abundant number, since it is smaller than the sum of its proper divisors (210955238172).

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

74758190400 is a wasteful number, since it uses less digits than its factorization.

74758190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 74758190400 in words is "seventy-four billion, seven hundred fifty-eight million, one hundred ninety thousand, four hundred".