4972856064 has 216 divisors, whose sum is σ = 14810496960. Its totient is φ = 1479751680.

The previous prime is 4972855999. The next prime is 4972856071. The reversal of 4972856064 is 4606582794.

It is a super-3 number, since 3×4972856064³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4972855998 and 4972856016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5482299 + ... + 5483205.

Almost surely, 2^4972856064 is an apocalyptic number.

4972856064 is a gapful number since it is divisible by the number (44) 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 4972856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405248480).

4972856064 is an abundant number, since it is smaller than the sum of its proper divisors (9837640896).

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

4972856064 is a wasteful number, since it uses less digits than its factorization.

4972856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The square root of 4972856064 is about 70518.4803012657. The cubic root of 4972856064 is about 1706.8759649999.

The spelling of 4972856064 in words is "four billion, nine hundred seventy-two million, eight hundred fifty-six thousand, sixty-four".