746864640 has 180 divisors, whose sum is σ = 2591607564. Its totient is φ = 198967296.

The previous prime is 746864633. The next prime is 746864681. The reversal of 746864640 is 46468647.

It can be written as a sum of positive squares in 2 ways, for example, as 84934656 + 661929984 = 9216^2 + 25728^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 736774 + ... + 737786.

Almost surely, 2^746864640 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 746864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295803782).

746864640 is an abundant number, since it is smaller than the sum of its proper divisors (1844742924).

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

746864640 is a wasteful number, since it uses less digits than its factorization.

746864640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 746864640 is about 27328.8243435388. The cubic root of 746864640 is about 907.2924553273.

The spelling of 746864640 in words is "seven hundred forty-six million, eight hundred sixty-four thousand, six hundred forty".