4972938880 has 256 divisors, whose sum is σ = 14791795200. Its totient is φ = 1556692992.

The previous prime is 4972938877. The next prime is 4972938899. The reversal of 4972938880 is 888392794.

It is a super-2 number, since 2×4972938880² = 49460242208431308800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5998306 + ... + 5999134.

It is an arithmetic number, because the mean of its divisors is an integer number (57780450).

Almost surely, 2^4972938880 is an apocalyptic number.

4972938880 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 4972938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7395897600).

4972938880 is an abundant number, since it is smaller than the sum of its proper divisors (9818856320).

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

4972938880 is a wasteful number, since it uses less digits than its factorization.

4972938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The square root of 4972938880 is about 70519.0674924165. The cubic root of 4972938880 is about 1706.8854401622.

The spelling of 4972938880 in words is "four billion, nine hundred seventy-two million, nine hundred thirty-eight thousand, eight hundred eighty".