47628082674 has 64 divisors (see below), whose sum is σ = 112195756800. Its totient is φ = 14924853504.

The previous prime is 47628082651. The next prime is 47628082679.

It is a happy number.

47628082674 is a `hidden beast` number, since 4 + 7 + 628 + 0 + 8 + 2 + 6 + 7 + 4 = 666.

47628082674 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×47628082674³ (a number of 33 digits) contains 333 as substring.

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 47628082674.

It is not an unprimeable number, because it can be changed into a prime (47628082679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 775507 + ... + 834665.

It is an arithmetic number, because the mean of its divisors is an integer number (1753058700).

Almost surely, 2^47628082674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47628082674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56097878400).

47628082674 is an abundant number, since it is smaller than the sum of its proper divisors (64567674126).

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

47628082674 is a wasteful number, since it uses less digits than its factorization.

47628082674 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60064 (or 60058 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 47628082674 in words is "forty-seven billion, six hundred twenty-eight million, eighty-two thousand, six hundred seventy-four".