742629888000 has 3744 divisors, whose sum is σ = 3817686442752. Its totient is φ = 136249344000.

The previous prime is 742629887983. The next prime is 742629888041. The reversal of 742629888000 is 888926247.

742629888000 is a `hidden beast` number, since 7 + 4 + 2 + 629 + 8 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32288255989 + ... + 32288256011.

It is an arithmetic number, because the mean of its divisors is an integer number (1019681208).

Almost surely, 2^742629888000 is an apocalyptic number.

742629888000 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 742629888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908843221376).

742629888000 is an abundant number, since it is smaller than the sum of its proper divisors (3075056554752).

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

742629888000 is a wasteful number, since it uses less digits than its factorization.

742629888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 742629888000 in words is "seven hundred forty-two billion, six hundred twenty-nine million, eight hundred eighty-eight thousand".