4758634440 has 128 divisors (see below), whose sum is σ = 18128160000. Its totient is φ = 1087686144.

The previous prime is 4758634423. The next prime is 4758634451. The reversal of 4758634440 is 444368574.

4758634440 is a `hidden beast` number, since 4 + 7 + 5 + 8 + 634 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×4758634440² = 45289203467108227200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307165 + ... + 322284.

It is an arithmetic number, because the mean of its divisors is an integer number (141626250).

Almost surely, 2^4758634440 is an apocalyptic number.

4758634440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4758634440 is an abundant number, since it is smaller than the sum of its proper divisors (13369525560).

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

4758634440 is a wasteful number, since it uses less digits than its factorization.

4758634440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629476 (or 629466 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The square root of 4758634440 is about 68982.8561310707. The cubic root of 4758634440 is about 1682.0056403607.

The spelling of 4758634440 in words is "four billion, seven hundred fifty-eight million, six hundred thirty-four thousand, four hundred forty".