742167360 has 560 divisors, whose sum is σ = 3053730240. Its totient is φ = 169205760.

The previous prime is 742167347. The next prime is 742167383. The reversal of 742167360 is 63761247.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5417212 + ... + 5417348.

Almost surely, 2^742167360 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 742167360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526865120).

742167360 is an abundant number, since it is smaller than the sum of its proper divisors (2311562880).

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

742167360 is a wasteful number, since it uses less digits than its factorization.

742167360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 742167360 is about 27242.7487599912. The cubic root of 742167360 is about 905.3863657606.

The spelling of 742167360 in words is "seven hundred forty-two million, one hundred sixty-seven thousand, three hundred sixty".