4957714080 has 864 divisors, whose sum is σ = 21222492480. Its totient is φ = 1071636480.

The previous prime is 4957714067. The next prime is 4957714093. The reversal of 4957714080 is 804177594.

It is a happy number.

4957714080 is a `hidden beast` number, since 495 + 77 + 14 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4957714067) and next prime (4957714093).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 260932311 + ... + 260932329.

It is an arithmetic number, because the mean of its divisors is an integer number (24563070).

Almost surely, 2^4957714080 is an apocalyptic number.

4957714080 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 4957714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611246240).

4957714080 is an abundant number, since it is smaller than the sum of its proper divisors (16264778400).

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

4957714080 is a wasteful number, since it uses less digits than its factorization.

4957714080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 4957714080 is about 70411.0366348913. The cubic root of 4957714080 is about 1705.1417660320.

The spelling of 4957714080 in words is "four billion, nine hundred fifty-seven million, seven hundred fourteen thousand, eighty".