4767376932864 has 1360 divisors, whose sum is σ = 17904843855360. Its totient is φ = 1230703165440.

The previous prime is 4767376932821. The next prime is 4767376932869. The reversal of 4767376932864 is 4682396737674.

4767376932864 is a `hidden beast` number, since 476 + 7 + 3 + 7 + 6 + 93 + 2 + 8 + 64 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 4767376932792 and 4767376932801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4767376932869) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34297675707 + ... + 34297675845.

Almost surely, 2^{4767376932864} 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 4767376932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8952421927680).

4767376932864 is an abundant number, since it is smaller than the sum of its proper divisors (13137466922496).

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

4767376932864 is an equidigital number, since it uses as much as digits as its factorization.

4767376932864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 235 counting only the distinct ones).

The product of its digits is 1536288768, while the sum is 72.

The spelling of 4767376932864 in words is "four trillion, seven hundred sixty-seven billion, three hundred seventy-six million, nine hundred thirty-two thousand, eight hundred sixty-four".