4947296175360 has 3456 divisors, whose sum is σ = 24298967347200. Its totient is φ = 931945512960.

The previous prime is 4947296175247. The next prime is 4947296175373. The reversal of 4947296175360 is 635716927494.

4947296175360 is a `hidden beast` number, since 4 + 9 + 4 + 7 + 2 + 9 + 617 + 5 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×4947296175360² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11807389231 + ... + 11807389649.

It is an arithmetic number, because the mean of its divisors is an integer number (7030951200).

Almost surely, 2^{4947296175360} is an apocalyptic number.

4947296175360 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 4947296175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12149483673600).

4947296175360 is an abundant number, since it is smaller than the sum of its proper divisors (19351671171840).

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

4947296175360 is a wasteful number, since it uses less digits than its factorization.

4947296175360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 4947296175360 in words is "four trillion, nine hundred forty-seven billion, two hundred ninety-six million, one hundred seventy-five thousand, three hundred sixty".