4827740963760 has 1280 divisors, whose sum is σ = 19925444689920. Its totient is φ = 1058967613440.

The previous prime is 4827740963743. The next prime is 4827740963797. The reversal of 4827740963760 is 673690477284.

It is a happy number.

4827740963760 is a `hidden beast` number, since 48 + 2 + 77 + 409 + 63 + 7 + 60 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5442774037 + ... + 5442774923.

It is an arithmetic number, because the mean of its divisors is an integer number (15566753664).

Almost surely, 2^{4827740963760} is an apocalyptic number.

4827740963760 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 4827740963760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9962722344960).

4827740963760 is an abundant number, since it is smaller than the sum of its proper divisors (15097703726160).

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

4827740963760 is a wasteful number, since it uses less digits than its factorization.

4827740963760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 4827740963760 in words is "four trillion, eight hundred twenty-seven billion, seven hundred forty million, nine hundred sixty-three thousand, seven hundred sixty".