4947193359360 has 2816 divisors, whose sum is σ = 22411800576000. Its totient is φ = 1009023713280.

The previous prime is 4947193359337. The next prime is 4947193359371. The reversal of 4947193359360 is 639533917494.

4947193359360 is a `hidden beast` number, since 4 + 9 + 4 + 7 + 1 + 9 + 33 + 593 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 45387094986 + ... + 45387095094.

It is an arithmetic number, because the mean of its divisors is an integer number (7958736000).

Almost surely, 2^{4947193359360} is an apocalyptic number.

4947193359360 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 4947193359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11205900288000).

4947193359360 is an abundant number, since it is smaller than the sum of its proper divisors (17464607216640).

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

4947193359360 is a wasteful number, since it uses less digits than its factorization.

4947193359360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 63.

The spelling of 4947193359360 in words is "four trillion, nine hundred forty-seven billion, one hundred ninety-three million, three hundred fifty-nine thousand, three hundred sixty".