4949268480 has 768 divisors, whose sum is σ = 20308579200. Its totient is φ = 1146617856.

The previous prime is 4949268473. The next prime is 4949268487. The reversal of 4949268480 is 848629494.

4949268480 is a `hidden beast` number, since 494 + 92 + 68 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4949268473) and next prime (4949268487).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4949268487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291133432 + ... + 291133448.

Almost surely, 2^4949268480 is an apocalyptic number.

4949268480 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 4949268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10154289600).

4949268480 is an abundant number, since it is smaller than the sum of its proper divisors (15359310720).

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

4949268480 is an equidigital number, since it uses as much as digits as its factorization.

4949268480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4949268480 is about 70351.0375190018. The cubic root of 4949268480 is about 1704.1729639940.

The spelling of 4949268480 in words is "four billion, nine hundred forty-nine million, two hundred sixty-eight thousand, four hundred eighty".