742147560 has 384 divisors, whose sum is σ = 3085205760. Its totient is φ = 150220800.

The previous prime is 742147547. The next prime is 742147573. The reversal of 742147560 is 65741247.

742147560 is a `hidden beast` number, since 74 + 21 + 4 + 7 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (742147547) and next prime (742147573).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1136194 + ... + 1136846.

It is an arithmetic number, because the mean of its divisors is an integer number (8034390).

Almost surely, 2^742147560 is an apocalyptic number.

742147560 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 742147560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542602880).

742147560 is an abundant number, since it is smaller than the sum of its proper divisors (2343058200).

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

742147560 is a wasteful number, since it uses less digits than its factorization.

742147560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 742147560 is about 27242.3853581143. The cubic root of 742147560 is about 905.3783142031.

The spelling of 742147560 in words is "seven hundred forty-two million, one hundred forty-seven thousand, five hundred sixty".