4993414776 has 576 divisors, whose sum is σ = 17926272000. Its totient is φ = 1293304320.

The previous prime is 4993414739. The next prime is 4993414781. The reversal of 4993414776 is 6774143994.

4993414776 is a `hidden beast` number, since 49 + 93 + 41 + 477 + 6 = 666.

It is a super-2 number, since 2×4993414776² = 49868382250350260352, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56105740 + ... + 56105828.

It is an arithmetic number, because the mean of its divisors is an integer number (31122000).

Almost surely, 2^4993414776 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 4993414776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963136000).

4993414776 is an abundant number, since it is smaller than the sum of its proper divisors (12932857224).

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

4993414776 is a wasteful number, since it uses less digits than its factorization.

4993414776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 151 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 4993414776 is about 70664.0982111850. The cubic root of 4993414776 is about 1709.2249118884.

The spelling of 4993414776 in words is "four billion, nine hundred ninety-three million, four hundred fourteen thousand, seven hundred seventy-six".