4920484853760 has 1152 divisors, whose sum is σ = 19728758649600. Its totient is φ = 1040449536000.

The previous prime is 4920484853749. The next prime is 4920484853827. The reversal of 4920484853760 is 673584840294.

It is a super-2 number, since 2×4920484853760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 4920484853694 and 4920484853703.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1229811760 + ... + 1229815760.

It is an arithmetic number, because the mean of its divisors is an integer number (17125658550).

Almost surely, 2^{4920484853760} is an apocalyptic number.

4920484853760 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 4920484853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9864379324800).

4920484853760 is an abundant number, since it is smaller than the sum of its proper divisors (14808273795840).

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

4920484853760 is a wasteful number, since it uses less digits than its factorization.

4920484853760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4107 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 60.

The spelling of 4920484853760 in words is "four trillion, nine hundred twenty billion, four hundred eighty-four million, eight hundred fifty-three thousand, seven hundred sixty".