4937932800 has 672 divisors, whose sum is σ = 19502323200. Its totient is φ = 1220935680.

The previous prime is 4937932793. The next prime is 4937932801. The reversal of 4937932800 is 82397394.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4937932801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105062377 + ... + 105062423.

Almost surely, 2^4937932800 is an apocalyptic number.

4937932800 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 4937932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9751161600).

4937932800 is an abundant number, since it is smaller than the sum of its proper divisors (14564390400).

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

4937932800 is a wasteful number, since it uses less digits than its factorization.

4937932800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4937932800 is about 70270.4262118852. The cubic root of 4937932800 is about 1702.8709044598.

The spelling of 4937932800 in words is "four billion, nine hundred thirty-seven million, nine hundred thirty-two thousand, eight hundred".