4964521293760 has 224 divisors, whose sum is σ = 13980980684160. Its totient is φ = 1642897686528.

The previous prime is 4964521293757. The next prime is 4964521293761. The reversal of 4964521293760 is 673921254694.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a junction number, because it is equal to n+sod(n) for n = 4964521293695 and 4964521293704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4964521293761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236249014 + ... + 236270026.

It is an arithmetic number, because the mean of its divisors is an integer number (62415092340).

Almost surely, 2^{4964521293760} is an apocalyptic number.

4964521293760 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 4964521293760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990490342080).

4964521293760 is an abundant number, since it is smaller than the sum of its proper divisors (9016459390400).

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

4964521293760 is a wasteful number, since it uses less digits than its factorization.

4964521293760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24703 (or 24693 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 4964521293760 in words is "four trillion, nine hundred sixty-four billion, five hundred twenty-one million, two hundred ninety-three thousand, seven hundred sixty".