742664960 has 72 divisors (see below), whose sum is σ = 1795572240. Its totient is φ = 294285312.

The previous prime is 742664957. The next prime is 742665013. The reversal of 742664960 is 69466247.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136859 + ... + 142181.

Almost surely, 2^742664960 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 742664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897786120).

742664960 is an abundant number, since it is smaller than the sum of its proper divisors (1052907280).

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

742664960 is a wasteful number, since it uses less digits than its factorization.

742664960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 742664960 is about 27251.8799351531. The cubic root of 742664960 is about 905.5886649682.

The spelling of 742664960 in words is "seven hundred forty-two million, six hundred sixty-four thousand, nine hundred sixty".