4921205760 has 352 divisors, whose sum is σ = 17717521920. Its totient is φ = 1295253504.

The previous prime is 4921205759. The next prime is 4921205771. The reversal of 4921205760 is 675021294.

4921205760 is a `hidden beast` number, since 49 + 21 + 20 + 576 + 0 = 666.

It is a super-2 number, since 2×4921205760² = 48436532264514355200, which contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 13409097 + ... + 13409463.

Almost surely, 2^4921205760 is an apocalyptic number.

4921205760 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 4921205760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8858760960).

4921205760 is an abundant number, since it is smaller than the sum of its proper divisors (12796316160).

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

4921205760 is a wasteful number, since it uses less digits than its factorization.

4921205760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4921205760 is about 70151.3061888373. The cubic root of 4921205760 is about 1700.9459280019.

It can be divided in two parts, 4921 and 205760, that added together give a square (210681 = 459²).

The spelling of 4921205760 in words is "four billion, nine hundred twenty-one million, two hundred five thousand, seven hundred sixty".