4767393780864 has 768 divisors, whose sum is σ = 16828160572800. Its totient is φ = 1333391155200.

The previous prime is 4767393780841. The next prime is 4767393780871. The reversal of 4767393780864 is 4680873937674.

It is a happy number.

4767393780864 is a `hidden beast` number, since 47 + 67 + 393 + 7 + 80 + 8 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4767393780792 and 4767393780801.

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, 520396444 + ... + 520405604.

Almost surely, 2^{4767393780864} is an apocalyptic number.

4767393780864 is a gapful number since it is divisible by the number (44) 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 4767393780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8414080286400).

4767393780864 is an abundant number, since it is smaller than the sum of its proper divisors (12060766791936).

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

4767393780864 is an equidigital number, since it uses as much as digits as its factorization.

4767393780864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9233 (or 9190 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 4767393780864 in words is "four trillion, seven hundred sixty-seven billion, three hundred ninety-three million, seven hundred eighty thousand, eight hundred sixty-four".