4774093680 has 320 divisors, whose sum is σ = 16377344640. Its totient is φ = 1145044992.

The previous prime is 4774093679. The next prime is 4774093699. The reversal of 4774093680 is 863904774.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18576112 + ... + 18576368.

It is an arithmetic number, because the mean of its divisors is an integer number (51179202).

Almost surely, 2^4774093680 is an apocalyptic number.

4774093680 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 4774093680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8188672320).

4774093680 is an abundant number, since it is smaller than the sum of its proper divisors (11603250960).

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

4774093680 is a wasteful number, since it uses less digits than its factorization.

4774093680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 4774093680 is about 69094.8165928530. The cubic root of 4774093680 is about 1683.8250994248.

The spelling of 4774093680 in words is "four billion, seven hundred seventy-four million, ninety-three thousand, six hundred eighty".