4901287680 has 432 divisors, whose sum is σ = 18596148480. Its totient is φ = 1186332672.

The previous prime is 4901287669. The next prime is 4901287693. The reversal of 4901287680 is 867821094.

4901287680 is a `hidden beast` number, since 490 + 1 + 2 + 87 + 6 + 80 = 666.

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 47 ways as a sum of consecutive naturals, for example, 5678929 + ... + 5679791.

It is an arithmetic number, because the mean of its divisors is an integer number (43046640).

Almost surely, 2^4901287680 is an apocalyptic number.

4901287680 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 4901287680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9298074240).

4901287680 is an abundant number, since it is smaller than the sum of its proper divisors (13694860800).

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

4901287680 is a wasteful number, since it uses less digits than its factorization.

4901287680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 4901287680 is about 70009.1971100940. The cubic root of 4901287680 is about 1698.6480231234.

The spelling of 4901287680 in words is "four billion, nine hundred one million, two hundred eighty-seven thousand, six hundred eighty".