4673975670 has 256 divisors, whose sum is σ = 15439656960. Its totient is φ = 979776000.

The previous prime is 4673975651. The next prime is 4673975681. The reversal of 4673975670 is 765793764.

4673975670 is a `hidden beast` number, since 4 + 6 + 73 + 9 + 7 + 567 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4446645 + ... + 4447695.

It is an arithmetic number, because the mean of its divisors is an integer number (60311160).

Almost surely, 2^4673975670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4673975670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7719828480).

4673975670 is an abundant number, since it is smaller than the sum of its proper divisors (10765681290).

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

4673975670 is a wasteful number, since it uses less digits than its factorization.

4673975670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The square root of 4673975670 is about 68366.4806027047. The cubic root of 4673975670 is about 1671.9712901807.

The spelling of 4673975670 in words is "four billion, six hundred seventy-three million, nine hundred seventy-five thousand, six hundred seventy".