74992226400 has 1296 divisors, whose sum is σ = 336971338704. Its totient is φ = 15552552960.

The previous prime is 74992226381. The next prime is 74992226423. The reversal of 74992226400 is 462229947.

It is a happy number.

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 215 ways as a sum of consecutive naturals, for example, 380671102 + ... + 380671298.

It is an arithmetic number, because the mean of its divisors is an integer number (260008749).

Almost surely, 2^74992226400 is an apocalyptic number.

74992226400 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 74992226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168485669352).

74992226400 is an abundant number, since it is smaller than the sum of its proper divisors (261979112304).

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

74992226400 is a wasteful number, since it uses less digits than its factorization.

74992226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 74992226400 in words is "seventy-four billion, nine hundred ninety-two million, two hundred twenty-six thousand, four hundred".