7674009984 has 384 divisors, whose sum is σ = 25342087680. Its totient is φ = 2299207680.

The previous prime is 7674009923. The next prime is 7674010013. The reversal of 7674009984 is 4899004767.

It is a happy number.

7674009984 is a `hidden beast` number, since 76 + 7 + 400 + 99 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 7674009984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12161349 + ... + 12161979.

It is an arithmetic number, because the mean of its divisors is an integer number (65995020).

Almost surely, 2^7674009984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7674009984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671043840).

7674009984 is an abundant number, since it is smaller than the sum of its proper divisors (17668077696).

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

7674009984 is a wasteful number, since it uses less digits than its factorization.

7674009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7674009984 is about 87601.4268376948. The cubic root of 7674009984 is about 1972.4565868223.

The spelling of 7674009984 in words is "seven billion, six hundred seventy-four million, nine thousand, nine hundred eighty-four".