4676445387000 has 1024 divisors, whose sum is σ = 17023470796800. Its totient is φ = 1186228800000.

The previous prime is 4676445386953. The next prime is 4676445387059. The reversal of 4676445387000 is 7835446764.

4676445387000 is a `hidden beast` number, since 4 + 67 + 6 + 44 + 538 + 7 + 0 + 0 + 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 255 ways as a sum of consecutive naturals, for example, 20601080887 + ... + 20601081113.

It is an arithmetic number, because the mean of its divisors is an integer number (16624483200).

Almost surely, 2^{4676445387000} is an apocalyptic number.

4676445387000 is a gapful number since it is divisible by the number (40) 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 4676445387000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8511735398400).

4676445387000 is an abundant number, since it is smaller than the sum of its proper divisors (12347025409800).

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

4676445387000 is a wasteful number, since it uses less digits than its factorization.

4676445387000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 4676445387000 in words is "four trillion, six hundred seventy-six billion, four hundred forty-five million, three hundred eighty-seven thousand".