4906385640 has 384 divisors, whose sum is σ = 18426320640. Its totient is φ = 1121476608.

The previous prime is 4906385587. The next prime is 4906385651. The reversal of 4906385640 is 465836094.

4906385640 is a `hidden beast` number, since 4 + 9 + 0 + 638 + 5 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6603109 + ... + 6603851.

It is an arithmetic number, because the mean of its divisors is an integer number (47985210).

Almost surely, 2^4906385640 is an apocalyptic number.

4906385640 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 4906385640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9213160320).

4906385640 is an abundant number, since it is smaller than the sum of its proper divisors (13519935000).

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

4906385640 is a wasteful number, since it uses less digits than its factorization.

4906385640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4906385640 is about 70045.5968637573. The cubic root of 4906385640 is about 1699.2367554186.

The spelling of 4906385640 in words is "four billion, nine hundred six million, three hundred eighty-five thousand, six hundred forty".