4967974395360 has 1536 divisors, whose sum is σ = 18936181555200. Its totient is φ = 1214220533760.

The previous prime is 4967974395341. The next prime is 4967974395379. The reversal of 4967974395360 is 635934797694.

4967974395360 is a `hidden beast` number, since 4 + 96 + 7 + 97 + 4 + 3 + 95 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (4967974395341) and next prime (4967974395379).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48232761069 + ... + 48232761171.

It is an arithmetic number, because the mean of its divisors is an integer number (12328243200).

Almost surely, 2^{4967974395360} is an apocalyptic number.

4967974395360 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 4967974395360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9468090777600).

4967974395360 is an abundant number, since it is smaller than the sum of its proper divisors (13968207159840).

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

4967974395360 is a wasteful number, since it uses less digits than its factorization.

4967974395360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 72.

The spelling of 4967974395360 in words is "four trillion, nine hundred sixty-seven billion, nine hundred seventy-four million, three hundred ninety-five thousand, three hundred sixty".