746000640 has 648 divisors, whose sum is σ = 3332766528. Its totient is φ = 149667840.

The previous prime is 746000639. The next prime is 746000641. The reversal of 746000640 is 46000647.

746000640 = 490² + 491² + ... + 1330².

It is an interprime number because it is at equal distance from previous prime (746000639) and next prime (746000641).

It is not an unprimeable number, because it can be changed into a prime (746000641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25724146 + ... + 25724174.

Almost surely, 2^746000640 is an apocalyptic number.

746000640 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 746000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666383264).

746000640 is an abundant number, since it is smaller than the sum of its proper divisors (2586765888).

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

746000640 is a wasteful number, since it uses less digits than its factorization.

746000640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 746000640 is about 27313.0122835252. The cubic root of 746000640 is about 906.9424574314.

The spelling of 746000640 in words is "seven hundred forty-six million, six hundred forty", and thus it is an aban number.