740249640 has 192 divisors, whose sum is σ = 2634362640. Its totient is φ = 179159040.

The previous prime is 740249623. The next prime is 740249663. The reversal of 740249640 is 46942047.

740249640 is a `hidden beast` number, since 7 + 4 + 0 + 2 + 4 + 9 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52446564 + 687803076 = 7242^2 + 26226^2 .

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 = 740249595 and 740249604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284184 + ... + 286776.

Almost surely, 2^740249640 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 740249640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317181320).

740249640 is an abundant number, since it is smaller than the sum of its proper divisors (1894113000).

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

740249640 is a wasteful number, since it uses less digits than its factorization.

740249640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2677 counting only the distinct ones).

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

The square root of 740249640 is about 27207.5291050106. The cubic root of 740249640 is about 904.6058701169.

The spelling of 740249640 in words is "seven hundred forty million, two hundred forty-nine thousand, six hundred forty".