742546252800 has 792 divisors, whose sum is σ = 3000673391040. Its totient is φ = 173786726400.

The previous prime is 742546252759. The next prime is 742546252841. The reversal of 742546252800 is 8252645247.

742546252800 is a `hidden beast` number, since 7 + 4 + 2 + 546 + 25 + 2 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (742546252759) and next prime (742546252841).

It is a tau number, because it is divible by the number of its divisors (792).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73492549 + ... + 73502651.

Almost surely, 2^742546252800 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 742546252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500336695520).

742546252800 is an abundant number, since it is smaller than the sum of its proper divisors (2258127138240).

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

742546252800 is a wasteful number, since it uses less digits than its factorization.

742546252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10153 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 742546252800 in words is "seven hundred forty-two billion, five hundred forty-six million, two hundred fifty-two thousand, eight hundred".