4906137600 has 1080 divisors, whose sum is σ = 22487545080. Its totient is φ = 1035141120.

The previous prime is 4906137569. The next prime is 4906137601. The reversal of 4906137600 is 67316094.

4906137600 is a `hidden beast` number, since 49 + 0 + 6 + 1 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4906137601) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 377395194 + ... + 377395206.

It is an arithmetic number, because the mean of its divisors is an integer number (20821801).

Almost surely, 2^4906137600 is an apocalyptic number.

4906137600 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 4906137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11243772540).

4906137600 is an abundant number, since it is smaller than the sum of its proper divisors (17581407480).

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

4906137600 is a wasteful number, since it uses less digits than its factorization.

4906137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4906137600 is about 70043.8262804082. The cubic root of 4906137600 is about 1699.2081202331.

The spelling of 4906137600 in words is "four billion, nine hundred six million, one hundred thirty-seven thousand, six hundred".