4761113209776 has 960 divisors, whose sum is σ = 18486766771200. Its totient is φ = 1144093040640.

The previous prime is 4761113209711. The next prime is 4761113209781. The reversal of 4761113209776 is 6779023111674.

4761113209776 is a `hidden beast` number, since 4 + 7 + 611 + 13 + 2 + 0 + 9 + 7 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 366995226 + ... + 367008198.

It is an arithmetic number, because the mean of its divisors is an integer number (19257048720).

Almost surely, 2^{4761113209776} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761113209776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9243383385600).

4761113209776 is an abundant number, since it is smaller than the sum of its proper divisors (13725653561424).

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

4761113209776 is a wasteful number, since it uses less digits than its factorization.

4761113209776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13095 (or 13072 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 4761113209776 in words is "four trillion, seven hundred sixty-one billion, one hundred thirteen million, two hundred nine thousand, seven hundred seventy-six".