742675360 has 144 divisors (see below), whose sum is σ = 2089444896. Its totient is φ = 248596992.

The previous prime is 742675327. The next prime is 742675361. The reversal of 742675360 is 63576247.

It is a super-2 number, since 2×742675360² = 1103133380702259200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (742675361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336019 + ... + 338221.

It is an arithmetic number, because the mean of its divisors is an integer number (14510034).

Almost surely, 2^742675360 is an apocalyptic number.

742675360 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 742675360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044722448).

742675360 is an abundant number, since it is smaller than the sum of its proper divisors (1346769536).

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

742675360 is a wasteful number, since it uses less digits than its factorization.

742675360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The square root of 742675360 is about 27252.0707470093. The cubic root of 742675360 is about 905.5928921225.

The spelling of 742675360 in words is "seven hundred forty-two million, six hundred seventy-five thousand, three hundred sixty".