74948198400 has 630 divisors, whose sum is σ = 279781553772. Its totient is φ = 19906560000.

The previous prime is 74948198359. The next prime is 74948198411. The reversal of 74948198400 is 489184947.

74948198400 is a `hidden beast` number, since 7 + 4 + 9 + 48 + 198 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 298598275 + ... + 298598525.

Almost surely, 2^74948198400 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 74948198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139890776886).

74948198400 is an abundant number, since it is smaller than the sum of its proper divisors (204833355372).

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

74948198400 is an frugal number, since it uses more digits than its factorization.

74948198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 74948198400 in words is "seventy-four billion, nine hundred forty-eight million, one hundred ninety-eight thousand, four hundred".