742990976000 has 704 divisors, whose sum is σ = 2299558270464. Its totient is φ = 233275392000.

The previous prime is 742990975999. The next prime is 742990976023. The reversal of 742990976000 is 679099247.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2644095860 + ... + 2644096140.

Almost surely, 2^742990976000 is an apocalyptic number.

742990976000 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 742990976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149779135232).

742990976000 is an abundant number, since it is smaller than the sum of its proper divisors (1556567294464).

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

742990976000 is a wasteful number, since it uses less digits than its factorization.

742990976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 53.

The spelling of 742990976000 in words is "seven hundred forty-two billion, nine hundred ninety million, nine hundred seventy-six thousand".