4677920640 has 256 divisors, whose sum is σ = 16659129600. Its totient is φ = 1240565760.

The previous prime is 4677920633. The next prime is 4677920641. The reversal of 4677920640 is 460297764.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4677920641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3645439 + ... + 3646721.

It is an arithmetic number, because the mean of its divisors is an integer number (65074725).

Almost surely, 2^4677920640 is an apocalyptic number.

4677920640 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 4677920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8329564800).

4677920640 is an abundant number, since it is smaller than the sum of its proper divisors (11981208960).

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

4677920640 is a wasteful number, since it uses less digits than its factorization.

4677920640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 4677920640 is about 68395.3261561051. The cubic root of 4677920640 is about 1672.4415551979.

The spelling of 4677920640 in words is "four billion, six hundred seventy-seven million, nine hundred twenty thousand, six hundred forty".