4777496586720 has 2304 divisors, whose sum is σ = 20451076079616. Its totient is φ = 999806976000.

The previous prime is 4777496586679. The next prime is 4777496586739. The reversal of 4777496586720 is 276856947774.

4777496586720 is a `hidden beast` number, since 4 + 7 + 7 + 7 + 496 + 58 + 67 + 20 = 666.

It is a super-2 number, since 2×4777496586720² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 37618083297 + ... + 37618083423.

It is an arithmetic number, because the mean of its divisors is an integer number (8876335104).

Almost surely, 2^{4777496586720} is an apocalyptic number.

4777496586720 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 4777496586720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10225538039808).

4777496586720 is an abundant number, since it is smaller than the sum of its proper divisors (15673579492896).

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

4777496586720 is a wasteful number, since it uses less digits than its factorization.

4777496586720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 995742720, while the sum is 72.

The spelling of 4777496586720 in words is "four trillion, seven hundred seventy-seven billion, four hundred ninety-six million, five hundred eighty-six thousand, seven hundred twenty".