4906179600 has 720 divisors, whose sum is σ = 19939104768. Its totient is φ = 1008967680.

The previous prime is 4906179571. The next prime is 4906179623. The reversal of 4906179600 is 69716094.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 143 ways as a sum of consecutive naturals, for example, 104386777 + ... + 104386823.

Almost surely, 2^4906179600 is an apocalyptic number.

4906179600 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 4906179600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9969552384).

4906179600 is an abundant number, since it is smaller than the sum of its proper divisors (15032925168).

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

4906179600 is a wasteful number, since it uses less digits than its factorization.

4906179600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 4906179600 is about 70044.1260920571. The cubic root of 4906179600 is about 1699.2129690262.

The spelling of 4906179600 in words is "four billion, nine hundred six million, one hundred seventy-nine thousand, six hundred".