4977273600 has 972 divisors, whose sum is σ = 21242400816. Its totient is φ = 1102970880.

The previous prime is 4977273599. The next prime is 4977273601. The reversal of 4977273600 is 63727794.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4977273599) and next prime (4977273601).

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 (4977273601) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 216403189 + ... + 216403211.

Almost surely, 2^4977273600 is an apocalyptic number.

4977273600 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 4977273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10621200408).

4977273600 is an abundant number, since it is smaller than the sum of its proper divisors (16265127216).

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

4977273600 is a wasteful number, since it uses less digits than its factorization.

4977273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 4977273600 is about 70549.7951804256. The cubic root of 4977273600 is about 1707.3812383146.

The spelling of 4977273600 in words is "four billion, nine hundred seventy-seven million, two hundred seventy-three thousand, six hundred".