4971657600 has 864 divisors, whose sum is σ = 22305759840. Its totient is φ = 1045094400.

The previous prime is 4971657577. The next prime is 4971657631. The reversal of 4971657600 is 67561794.

It is a happy number.

4971657600 is a `hidden beast` number, since 4 + 9 + 71 + 6 + 576 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18345465 + ... + 18345735.

Almost surely, 2^4971657600 is an apocalyptic number.

4971657600 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 4971657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11152879920).

4971657600 is an abundant number, since it is smaller than the sum of its proper divisors (17334102240).

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

4971657600 is a wasteful number, since it uses less digits than its factorization.

4971657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 4971657600 is about 70509.9822720159. The cubic root of 4971657600 is about 1706.7388342964.

The spelling of 4971657600 in words is "four billion, nine hundred seventy-one million, six hundred fifty-seven thousand, six hundred".