742238640 has 560 divisors, whose sum is σ = 3073865760. Its totient is φ = 164229120.

The previous prime is 742238633. The next prime is 742238657. The reversal of 742238640 is 46832247.

742238640 is a `hidden beast` number, since 7 + 4 + 2 + 2 + 3 + 8 + 640 = 666.

742238640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 742238595 and 742238604.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8339716 + ... + 8339804.

It is an arithmetic number, because the mean of its divisors is an integer number (5489046).

Almost surely, 2^742238640 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 742238640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536932880).

742238640 is an abundant number, since it is smaller than the sum of its proper divisors (2331627120).

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

742238640 is a wasteful number, since it uses less digits than its factorization.

742238640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 742238640 is about 27244.0569666120. The cubic root of 742238640 is about 905.4153501818.

The spelling of 742238640 in words is "seven hundred forty-two million, two hundred thirty-eight thousand, six hundred forty".