4807377264 has 160 divisors (see below), whose sum is σ = 13561632000. Its totient is φ = 1462302720.

The previous prime is 4807377251. The next prime is 4807377313. The reversal of 4807377264 is 4627737084.

It is a super-3 number, since 3×4807377264³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3102762 + ... + 3104310.

It is an arithmetic number, because the mean of its divisors is an integer number (84760200).

Almost surely, 2^4807377264 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 4807377264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780816000).

4807377264 is an abundant number, since it is smaller than the sum of its proper divisors (8754254736).

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

4807377264 is a wasteful number, since it uses less digits than its factorization.

4807377264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 48.

The square root of 4807377264 is about 69335.2526785617. The cubic root of 4807377264 is about 1687.7290862214.

The spelling of 4807377264 in words is "four billion, eight hundred seven million, three hundred seventy-seven thousand, two hundred sixty-four".