742825034640 has 400 divisors, whose sum is σ = 2787545627328. Its totient is φ = 182247293952.

The previous prime is 742825034593. The next prime is 742825034659. The reversal of 742825034640 is 46430528247.

It is a happy number.

742825034640 is a `hidden beast` number, since 7 + 4 + 2 + 82 + 503 + 4 + 64 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 25847319 + ... + 25876041.

Almost surely, 2^742825034640 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 742825034640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393772813664).

742825034640 is an abundant number, since it is smaller than the sum of its proper divisors (2044720592688).

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

742825034640 is a wasteful number, since it uses less digits than its factorization.

742825034640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29068 (or 29053 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 742825034640 in words is "seven hundred forty-two billion, eight hundred twenty-five million, thirty-four thousand, six hundred forty".