740960640 has 768 divisors, whose sum is σ = 3299512320. Its totient is φ = 149225472.

The previous prime is 740960639. The next prime is 740960641. The reversal of 740960640 is 46069047.

740960640 is a `hidden beast` number, since 7 + 4 + 0 + 9 + 6 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (740960639) and next prime (740960641).

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 = 740960595 and 740960604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (740960641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15765097 + ... + 15765143.

It is an arithmetic number, because the mean of its divisors is an integer number (4296240).

Almost surely, 2^740960640 is an apocalyptic number.

740960640 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 740960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649756160).

740960640 is an abundant number, since it is smaller than the sum of its proper divisors (2558551680).

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

740960640 is a wasteful number, since it uses less digits than its factorization.

740960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 740960640 is about 27220.5922051670. The cubic root of 740960640 is about 904.8953981034.

The spelling of 740960640 in words is "seven hundred forty million, nine hundred sixty thousand, six hundred forty".