6700464000 has 768 divisors, whose sum is σ = 26477568000. Its totient is φ = 1617408000.

The previous prime is 6700463999. The next prime is 6700464041. The reversal of 6700464000 is 4640076.

6700464000 = 585³ + 586³ + ... + 615³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84815961 + ... + 84816039.

It is an arithmetic number, because the mean of its divisors is an integer number (34476000).

Almost surely, 2^6700464000 is an apocalyptic number.

6700464000 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 6700464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13238784000).

6700464000 is an abundant number, since it is smaller than the sum of its proper divisors (19777104000).

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

6700464000 is a wasteful number, since it uses less digits than its factorization.

6700464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 139 counting only the distinct ones).

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

The square root of 6700464000 is about 81856.3620007633. The cubic root of 6700464000 is about 1885.2471491450.

The spelling of 6700464000 in words is "six billion, seven hundred million, four hundred sixty-four thousand".