74981491200 has 1440 divisors, whose sum is σ = 341952399360. Its totient is φ = 15239577600.

The previous prime is 74981491199. The next prime is 74981491223. The reversal of 74981491200 is 219418947.

It is a happy number.

74981491200 is a `hidden beast` number, since 7 + 498 + 149 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 700761547 + ... + 700761653.

It is an arithmetic number, because the mean of its divisors is an integer number (237466944).

Almost surely, 2^74981491200 is an apocalyptic number.

74981491200 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 74981491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170976199680).

74981491200 is an abundant number, since it is smaller than the sum of its proper divisors (266970908160).

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

74981491200 is a wasteful number, since it uses less digits than its factorization.

74981491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 74981491200 in words is "seventy-four billion, nine hundred eighty-one million, four hundred ninety-one thousand, two hundred".