4900746240 has 616 divisors, whose sum is σ = 19169794728. Its totient is φ = 1194393600.

The previous prime is 4900746233. The next prime is 4900746299. The reversal of 4900746240 is 426470094.

4900746240 is a `hidden beast` number, since 490 + 0 + 74 + 62 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 812934144 + 4087812096 = 28512^2 + 63936^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4900746195 and 4900746204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 48522190 + ... + 48522290.

Almost surely, 2^4900746240 is an apocalyptic number.

4900746240 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 4900746240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9584897364).

4900746240 is an abundant number, since it is smaller than the sum of its proper divisors (14269048488).

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

4900746240 is a wasteful number, since it uses less digits than its factorization.

4900746240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4900746240 is about 70005.3300827873. The cubic root of 4900746240 is about 1698.5854715441.

The spelling of 4900746240 in words is "four billion, nine hundred million, seven hundred forty-six thousand, two hundred forty".