4727673600 has 648 divisors, whose sum is σ = 17810860032. Its totient is φ = 1102233600.

The previous prime is 4727673593. The next prime is 4727673607. The reversal of 4727673600 is 63767274.

It is an interprime number because it is at equal distance from previous prime (4727673593) and next prime (4727673607).

It is not an unprimeable number, because it can be changed into a prime (4727673607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100588777 + ... + 100588823.

Almost surely, 2^4727673600 is an apocalyptic number.

4727673600 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 4727673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905430016).

4727673600 is an abundant number, since it is smaller than the sum of its proper divisors (13083186432).

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

4727673600 is a wasteful number, since it uses less digits than its factorization.

4727673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 42.

The square root of 4727673600 is about 68758.0802524329. The cubic root of 4727673600 is about 1678.3498536303.

The spelling of 4727673600 in words is "four billion, seven hundred twenty-seven million, six hundred seventy-three thousand, six hundred".