4576667630080 has 480 divisors, whose sum is σ = 13955970010752. Its totient is φ = 1401647431680.

The previous prime is 4576667630077. The next prime is 4576667630083. The reversal of 4576667630080 is 800367666754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4576667630077) and next prime (4576667630083).

It is a junction number, because it is equal to n+sod(n) for n = 4576667629997 and 4576667630024.

It is not an unprimeable number, because it can be changed into a prime (4576667630083) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223864339 + ... + 223884781.

Almost surely, 2^{4576667630080} is an apocalyptic number.

4576667630080 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 4576667630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6977985005376).

4576667630080 is an abundant number, since it is smaller than the sum of its proper divisors (9379302380672).

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

4576667630080 is a wasteful number, since it uses less digits than its factorization.

4576667630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20548 (or 20501 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 58.

The spelling of 4576667630080 in words is "four trillion, five hundred seventy-six billion, six hundred sixty-seven million, six hundred thirty thousand, eighty".