742677624 has 96 divisors (see below), whose sum is σ = 2280205200. Its totient is φ = 216483840.

The previous prime is 742677619. The next prime is 742677631. The reversal of 742677624 is 426776247.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 742677624.

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 23 ways as a sum of consecutive naturals, for example, 3097 + ... + 38664.

Almost surely, 2^742677624 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 742677624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140102600).

742677624 is an abundant number, since it is smaller than the sum of its proper divisors (1537527576).

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

742677624 is a wasteful number, since it uses less digits than its factorization.

742677624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41805 (or 41798 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 742677624 is about 27252.1122851055. The cubic root of 742677624 is about 905.5938123362.

The spelling of 742677624 in words is "seven hundred forty-two million, six hundred seventy-seven thousand, six hundred twenty-four".