4964347376640 has 1056 divisors, whose sum is σ = 19029019426560. Its totient is φ = 1191321796608.

The previous prime is 4964347376557. The next prime is 4964347376687. The reversal of 4964347376640 is 466737434694.

4964347376640 is a `hidden beast` number, since 4 + 9 + 6 + 434 + 73 + 76 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1710073429 + ... + 1710076331.

It is an arithmetic number, because the mean of its divisors is an integer number (18019904760).

Almost surely, 2^{4964347376640} is an apocalyptic number.

4964347376640 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 4964347376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9514509713280).

4964347376640 is an abundant number, since it is smaller than the sum of its proper divisors (14064672049920).

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

4964347376640 is a wasteful number, since it uses less digits than its factorization.

4964347376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3047 (or 3026 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 63.

The spelling of 4964347376640 in words is "four trillion, nine hundred sixty-four billion, three hundred forty-seven million, three hundred seventy-six thousand, six hundred forty".