4949750947680 has 1152 divisors, whose sum is σ = 21934012778496. Its totient is φ = 986569113600.

The previous prime is 4949750947639. The next prime is 4949750947703. The reversal of 4949750947680 is 867490579494.

4949750947680 is a `hidden beast` number, since 4 + 9 + 4 + 9 + 75 + 0 + 9 + 476 + 80 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4949750947599 and 4949750947608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 291273264 + ... + 291290256.

It is an arithmetic number, because the mean of its divisors is an integer number (19039941648).

Almost surely, 2^{4949750947680} is an apocalyptic number.

4949750947680 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 4949750947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10967006389248).

4949750947680 is an abundant number, since it is smaller than the sum of its proper divisors (16984261830816).

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

4949750947680 is a wasteful number, since it uses less digits than its factorization.

4949750947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17140 (or 17129 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 4949750947680 in words is "four trillion, nine hundred forty-nine billion, seven hundred fifty million, nine hundred forty-seven thousand, six hundred eighty".