667303902720 has 1280 divisors, whose sum is σ = 2935492116480. Its totient is φ = 139919228928.

The previous prime is 667303902709. The next prime is 667303902787. The reversal of 667303902720 is 27209303766.

667303902720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1280).

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 127 ways as a sum of consecutive naturals, for example, 1742307649 + ... + 1742308031.

It is an arithmetic number, because the mean of its divisors is an integer number (2293353216).

Almost surely, 2^667303902720 is an apocalyptic number.

667303902720 is a gapful number since it is divisible by the number (60) 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 667303902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467746058240).

667303902720 is an abundant number, since it is smaller than the sum of its proper divisors (2268188213760).

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

667303902720 is a wasteful number, since it uses less digits than its factorization.

667303902720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 667303902720 in words is "six hundred sixty-seven billion, three hundred three million, nine hundred two thousand, seven hundred twenty".