6407006970 has 128 divisors (see below), whose sum is σ = 18951045120. Its totient is φ = 1349971200.

The previous prime is 6407006951. The next prime is 6407006999. The reversal of 6407006970 is 796007046.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 3141211 + ... + 3143249.

It is an arithmetic number, because the mean of its divisors is an integer number (148055040).

Almost surely, 2^6407006970 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6407006970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9475522560).

6407006970 is an abundant number, since it is smaller than the sum of its proper divisors (12544038150).

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

6407006970 is a wasteful number, since it uses less digits than its factorization.

6407006970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3220.

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 6407006970 is about 80043.7815823316. The cubic root of 6407006970 is about 1857.3128586868.

The spelling of 6407006970 in words is "six billion, four hundred seven million, six thousand, nine hundred seventy".