4620127680 has 448 divisors, whose sum is σ = 19019520000. Its totient is φ = 1055351808.

The previous prime is 4620127679. The next prime is 4620127711. The reversal of 4620127680 is 867210264.

4620127680 is a `hidden beast` number, since 4 + 620 + 1 + 27 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 2962741 + ... + 2964299.

Almost surely, 2^4620127680 is an apocalyptic number.

4620127680 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 4620127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9509760000).

4620127680 is an abundant number, since it is smaller than the sum of its proper divisors (14399392320).

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

4620127680 is a wasteful number, since it uses less digits than its factorization.

4620127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4620127680 is about 67971.5210952352. The cubic root of 4620127680 is about 1665.5256517403.

The spelling of 4620127680 in words is "four billion, six hundred twenty million, one hundred twenty-seven thousand, six hundred eighty".