740967761664 has 432 divisors, whose sum is σ = 2408522643072. Its totient is φ = 225832955904.

The previous prime is 740967761551. The next prime is 740967761749. The reversal of 740967761664 is 466167769047.

740967761664 is a `hidden beast` number, since 7 + 4 + 0 + 9 + 6 + 7 + 7 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

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, 86527047 + ... + 86535609.

It is an arithmetic number, because the mean of its divisors is an integer number (5575283896).

Almost surely, 2^740967761664 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 740967761664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204261321536).

740967761664 is an abundant number, since it is smaller than the sum of its proper divisors (1667554881408).

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

740967761664 is a wasteful number, since it uses less digits than its factorization.

740967761664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8714 (or 8688 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 740967761664 in words is "seven hundred forty billion, nine hundred sixty-seven million, seven hundred sixty-one thousand, six hundred sixty-four".