742616640 has 448 divisors, whose sum is σ = 2835371520. Its totient is φ = 182476800.

The previous prime is 742616597. The next prime is 742616647. The reversal of 742616640 is 46616247.

742616640 is a `hidden beast` number, since 7 + 4 + 2 + 6 + 1 + 6 + 640 = 666.

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 = 742616595 and 742616604.

It is not an unprimeable number, because it can be changed into a prime (742616647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7352590 + ... + 7352690.

Almost surely, 2^742616640 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 742616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417685760).

742616640 is an abundant number, since it is smaller than the sum of its proper divisors (2092754880).

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

742616640 is a wasteful number, since it uses less digits than its factorization.

742616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 742616640 is about 27250.9933763891. The cubic root of 742616640 is about 905.5690244413.

The spelling of 742616640 in words is "seven hundred forty-two million, six hundred sixteen thousand, six hundred forty".