6445677000 has 256 divisors, whose sum is σ = 23118151680. Its totient is φ = 1464672000.

The previous prime is 6445676987. The next prime is 6445677013. The reversal of 6445677000 is 7765446.

It is an interprime number because it is at equal distance from previous prime (6445676987) and next prime (6445677013).

It is a self number, because there is not a number n which added to its sum of digits gives 6445677000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4010197 + ... + 4011803.

It is an arithmetic number, because the mean of its divisors is an integer number (90305280).

Almost surely, 2^6445677000 is an apocalyptic number.

6445677000 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 6445677000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11559075840).

6445677000 is an abundant number, since it is smaller than the sum of its proper divisors (16672474680).

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

6445677000 is a wasteful number, since it uses less digits than its factorization.

6445677000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 6445677000 is about 80284.9736874840. The cubic root of 6445677000 is about 1861.0420222036.

The spelling of 6445677000 in words is "six billion, four hundred forty-five million, six hundred seventy-seven thousand".