4462764768 has 576 divisors, whose sum is σ = 17019072000. Its totient is φ = 1127831040.

The previous prime is 4462764659. The next prime is 4462764769. The reversal of 4462764768 is 8674672644.

4462764768 is a `hidden beast` number, since 4 + 4 + 627 + 6 + 4 + 7 + 6 + 8 = 666.

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 not an unprimeable number, because it can be changed into a prime (4462764769) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120615246 + ... + 120615282.

It is an arithmetic number, because the mean of its divisors is an integer number (29547000).

Almost surely, 2^4462764768 is an apocalyptic number.

4462764768 is a gapful number since it is divisible by the number (48) 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 4462764768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8509536000).

4462764768 is an abundant number, since it is smaller than the sum of its proper divisors (12556307232).

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

4462764768 is a wasteful number, since it uses less digits than its factorization.

4462764768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 60 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The square root of 4462764768 is about 66803.9277887161. The cubic root of 4462764768 is about 1646.3973760891.

The spelling of 4462764768 in words is "four billion, four hundred sixty-two million, seven hundred sixty-four thousand, seven hundred sixty-eight".