4975301560320 has 1536 divisors, whose sum is σ = 22472626176000. Its totient is φ = 1015712317440.

The previous prime is 4975301560309. The next prime is 4975301560349. The reversal of 4975301560320 is 230651035794.

4975301560320 is a `hidden beast` number, since 4 + 9 + 7 + 5 + 3 + 0 + 15 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×4975301560320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 779946891 + ... + 779953269.

It is an arithmetic number, because the mean of its divisors is an integer number (14630616000).

Almost surely, 2^{4975301560320} is an apocalyptic number.

4975301560320 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 4975301560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11236313088000).

4975301560320 is an abundant number, since it is smaller than the sum of its proper divisors (17497324615680).

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

4975301560320 is a wasteful number, since it uses less digits than its factorization.

4975301560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6466 (or 6440 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 4975301560320 in words is "four trillion, nine hundred seventy-five billion, three hundred one million, five hundred sixty thousand, three hundred twenty".