4739506375968 has 768 divisors, whose sum is σ = 18039870858240. Its totient is φ = 1174789619712.

The previous prime is 4739506375957. The next prime is 4739506375969. The reversal of 4739506375968 is 8695736059374.

4739506375968 is a `hidden beast` number, since 4 + 7 + 3 + 9 + 506 + 3 + 7 + 59 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4739506375896 and 4739506375905.

It is not an unprimeable number, because it can be changed into a prime (4739506375969) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1140124546 + ... + 1140128702.

It is an arithmetic number, because the mean of its divisors is an integer number (23489415180).

Almost surely, 2^{4739506375968} is an apocalyptic number.

4739506375968 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 4739506375968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9019935429120).

4739506375968 is an abundant number, since it is smaller than the sum of its proper divisors (13300364482272).

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

4739506375968 is a wasteful number, since it uses less digits than its factorization.

4739506375968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5066 (or 5052 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 72.

The spelling of 4739506375968 in words is "four trillion, seven hundred thirty-nine billion, five hundred six million, three hundred seventy-five thousand, nine hundred sixty-eight".