4763917520320 has 224 divisors, whose sum is σ = 13388782325760. Its totient is φ = 1579957125120.

The previous prime is 4763917520287. The next prime is 4763917520407. The reversal of 4763917520320 is 230257193674.

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

It is a super-2 number, since 2×4763917520320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171294576 + ... + 171322384.

Almost surely, 2^{4763917520320} is an apocalyptic number.

4763917520320 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 4763917520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6694391162880).

4763917520320 is an abundant number, since it is smaller than the sum of its proper divisors (8624864805440).

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

4763917520320 is a wasteful number, since it uses less digits than its factorization.

4763917520320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30331 (or 30321 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 49.

The spelling of 4763917520320 in words is "four trillion, seven hundred sixty-three billion, nine hundred seventeen million, five hundred twenty thousand, three hundred twenty".