4874640480 has 192 divisors, whose sum is σ = 17522930880. Its totient is φ = 1264730112.

The previous prime is 4874640457. The next prime is 4874640523. The reversal of 4874640480 is 840464784.

4874640480 is a `hidden beast` number, since 48 + 74 + 64 + 0 + 480 = 666.

It is a super-3 number, since 3×4874640480³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144592 + ... + 175088.

It is an arithmetic number, because the mean of its divisors is an integer number (91265265).

Almost surely, 2^4874640480 is an apocalyptic number.

4874640480 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 4874640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8761465440).

4874640480 is an abundant number, since it is smaller than the sum of its proper divisors (12648290400).

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

4874640480 is a wasteful number, since it uses less digits than its factorization.

4874640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30558 (or 30544 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 4874640480 is about 69818.6255951805. The cubic root of 4874640480 is about 1695.5640381460.

The spelling of 4874640480 in words is "four billion, eight hundred seventy-four million, six hundred forty thousand, four hundred eighty".