4972264960 has 160 divisors (see below), whose sum is σ = 13085724960. Its totient is φ = 1800634368.

The previous prime is 4972264949. The next prime is 4972264961. The reversal of 4972264960 is 694622794.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4972264961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1762431 + ... + 1765249.

It is an arithmetic number, because the mean of its divisors is an integer number (81785781).

Almost surely, 2^4972264960 is an apocalyptic number.

4972264960 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 4972264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6542862480).

4972264960 is an abundant number, since it is smaller than the sum of its proper divisors (8113460000).

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

4972264960 is a wasteful number, since it uses less digits than its factorization.

4972264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The square root of 4972264960 is about 70514.2890483908. The cubic root of 4972264960 is about 1706.8083324244.

The spelling of 4972264960 in words is "four billion, nine hundred seventy-two million, two hundred sixty-four thousand, nine hundred sixty".