4932964960 has 192 divisors, whose sum is σ = 15031941120. Its totient is φ = 1484421120.

The previous prime is 4932964957. The next prime is 4932964969. The reversal of 4932964960 is 694692394.

It is a junction number, because it is equal to n+sod(n) for n = 4932964898 and 4932964907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4932964969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350377 + ... + 364183.

It is an arithmetic number, because the mean of its divisors is an integer number (78291360).

Almost surely, 2^4932964960 is an apocalyptic number.

4932964960 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 4932964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7515970560).

4932964960 is an abundant number, since it is smaller than the sum of its proper divisors (10098976160).

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

4932964960 is a wasteful number, since it uses less digits than its factorization.

4932964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13869 (or 13861 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 52.

The square root of 4932964960 is about 70235.0693030198. The cubic root of 4932964960 is about 1702.2996513285.

The spelling of 4932964960 in words is "four billion, nine hundred thirty-two million, nine hundred sixty-four thousand, nine hundred sixty".