4761991674 has 64 divisors (see below), whose sum is σ = 11561028480. Its totient is φ = 1440927360.

The previous prime is 4761991651. The next prime is 4761991697.

4761991674 is a `hidden beast` number, since 4 + 7 + 619 + 9 + 16 + 7 + 4 = 666.

4761991674 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4761991651) and next prime (4761991697).

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

It is a self number, because there is not a number n which added to its sum of digits gives 4761991674.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 429934 + ... + 440870.

It is an arithmetic number, because the mean of its divisors is an integer number (180641070).

Almost surely, 2^4761991674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761991674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780514240).

4761991674 is an abundant number, since it is smaller than the sum of its proper divisors (6799036806).

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

4761991674 is a wasteful number, since it uses less digits than its factorization.

4761991674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11692 (or 11686 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 4761991674 is about 69007.1856693200. The cubic root of 4761991674 is about 1682.4011010858.

The spelling of 4761991674 in words is "four billion, seven hundred sixty-one million, nine hundred ninety-one thousand, six hundred seventy-four".