742518621600 has 1152 divisors, whose sum is σ = 2976289505280. Its totient is φ = 157151232000.

The previous prime is 742518621457. The next prime is 742518621619. The reversal of 742518621600 is 6126815247.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3186775084 + ... + 3186775316.

It is an arithmetic number, because the mean of its divisors is an integer number (2583584640).

Almost surely, 2^742518621600 is an apocalyptic number.

742518621600 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 742518621600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488144752640).

742518621600 is an abundant number, since it is smaller than the sum of its proper divisors (2233770883680).

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

742518621600 is a wasteful number, since it uses less digits than its factorization.

742518621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 742518621600 in words is "seven hundred forty-two billion, five hundred eighteen million, six hundred twenty-one thousand, six hundred".