4776199179840 has 672 divisors, whose sum is σ = 18891858787200. Its totient is φ = 1126542090240.

The previous prime is 4776199179751. The next prime is 4776199179853. The reversal of 4776199179840 is 489719916774.

4776199179840 is a `hidden beast` number, since 477 + 6 + 1 + 9 + 9 + 1 + 79 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130091406 + ... + 130128114.

It is an arithmetic number, because the mean of its divisors is an integer number (28112885100).

Almost surely, 2^{4776199179840} is an apocalyptic number.

4776199179840 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 4776199179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9445929393600).

4776199179840 is an abundant number, since it is smaller than the sum of its proper divisors (14115659607360).

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

4776199179840 is a wasteful number, since it uses less digits than its factorization.

4776199179840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36820 (or 36767 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 72.

The spelling of 4776199179840 in words is "four trillion, seven hundred seventy-six billion, one hundred ninety-nine million, one hundred seventy-nine thousand, eight hundred forty".