4756948291680 has 384 divisors, whose sum is σ = 16411205615616. Its totient is φ = 1151069184000.

The previous prime is 4756948291679. The next prime is 4756948291721. The reversal of 4756948291680 is 861928496574.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1022777355 + ... + 1022782005.

It is an arithmetic number, because the mean of its divisors is an integer number (42737514624).

Almost surely, 2^{4756948291680} is an apocalyptic number.

4756948291680 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 4756948291680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8205602807808).

4756948291680 is an abundant number, since it is smaller than the sum of its proper divisors (11654257323936).

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

4756948291680 is a wasteful number, since it uses less digits than its factorization.

4756948291680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7430 (or 7422 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 4756948291680 in words is "four trillion, seven hundred fifty-six billion, nine hundred forty-eight million, two hundred ninety-one thousand, six hundred eighty".