4759267968 has 512 divisors, whose sum is σ = 17798592000. Its totient is φ = 1218281472.

The previous prime is 4759267957. The next prime is 4759268027. The reversal of 4759267968 is 8697629574.

4759267968 is a `hidden beast` number, since 475 + 92 + 6 + 79 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11636148 + ... + 11636556.

It is an arithmetic number, because the mean of its divisors is an integer number (34762875).

Almost surely, 2^4759267968 is an apocalyptic number.

4759267968 is a gapful number since it is divisible by the number (48) 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 4759267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8899296000).

4759267968 is an abundant number, since it is smaller than the sum of its proper divisors (13039324032).

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

4759267968 is a wasteful number, since it uses less digits than its factorization.

4759267968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 471 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The square root of 4759267968 is about 68987.4479017741. The cubic root of 4759267968 is about 1682.0802801478.

The spelling of 4759267968 in words is "four billion, seven hundred fifty-nine million, two hundred sixty-seven thousand, nine hundred sixty-eight".