742535164800 has 2880 divisors, whose sum is σ = 3427991487360. Its totient is φ = 156565094400.

The previous prime is 742535164757. The next prime is 742535164829. The reversal of 742535164800 is 8461535247.

742535164800 is a `hidden beast` number, since 7 + 4 + 2 + 53 + 516 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 359 ways as a sum of consecutive naturals, for example, 11082614367 + ... + 11082614433.

It is an arithmetic number, because the mean of its divisors is an integer number (1190274822).

Almost surely, 2^742535164800 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 742535164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713995743680).

742535164800 is an abundant number, since it is smaller than the sum of its proper divisors (2685456322560).

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

742535164800 is a wasteful number, since it uses less digits than its factorization.

742535164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 742535164800 in words is "seven hundred forty-two billion, five hundred thirty-five million, one hundred sixty-four thousand, eight hundred".