4774676336640 has 3120 divisors, whose sum is σ = 22185536072832. Its totient is φ = 958572527616.

The previous prime is 4774676336581. The next prime is 4774676336671. The reversal of 4774676336640 is 466336764774.

4774676336640 is a `hidden beast` number, since 4 + 77 + 467 + 6 + 3 + 3 + 66 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 71263825887 + ... + 71263825953.

Almost surely, 2^{4774676336640} is an apocalyptic number.

4774676336640 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 4774676336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11092768036416).

4774676336640 is an abundant number, since it is smaller than the sum of its proper divisors (17410859736192).

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

4774676336640 is a wasteful number, since it uses less digits than its factorization.

4774676336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 63.

The spelling of 4774676336640 in words is "four trillion, seven hundred seventy-four billion, six hundred seventy-six million, three hundred thirty-six thousand, six hundred forty".