4762682880 has 320 divisors, whose sum is σ = 16216104960. Its totient is φ = 1189085184.

The previous prime is 4762682879. The next prime is 4762682921. The reversal of 4762682880 is 882862674.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18531712 + ... + 18531968.

It is an arithmetic number, because the mean of its divisors is an integer number (50675328).

Almost surely, 2^4762682880 is an apocalyptic number.

4762682880 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 4762682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8108052480).

4762682880 is an abundant number, since it is smaller than the sum of its proper divisors (11453422080).

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

4762682880 is a wasteful number, since it uses less digits than its factorization.

4762682880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The square root of 4762682880 is about 69012.1937051707. The cubic root of 4762682880 is about 1682.4824976634.

The spelling of 4762682880 in words is "four billion, seven hundred sixty-two million, six hundred eighty-two thousand, eight hundred eighty".