4947866187264 has 4480 divisors, whose sum is σ = 22722015697920. Its totient is φ = 1031956070400.

The previous prime is 4947866187191. The next prime is 4947866187287. The reversal of 4947866187264 is 4627816687494.

4947866187264 is a `hidden beast` number, since 494 + 7 + 8 + 6 + 6 + 1 + 8 + 72 + 64 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (780337152) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 4947866187192 and 4947866187201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 120679663084 + ... + 120679663124.

It is an arithmetic number, because the mean of its divisors is an integer number (5071878504).

Almost surely, 2^{4947866187264} is an apocalyptic number.

4947866187264 is a gapful number since it is divisible by the number (44) 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 4947866187264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11361007848960).

4947866187264 is an abundant number, since it is smaller than the sum of its proper divisors (17774149510656).

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

4947866187264 is a wasteful number, since it uses less digits than its factorization.

4947866187264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its digits is 780337152, while the sum is 72.

The spelling of 4947866187264 in words is "four trillion, nine hundred forty-seven billion, eight hundred sixty-six million, one hundred eighty-seven thousand, two hundred sixty-four".