4961376463680 has 1120 divisors, whose sum is σ = 22665865711104. Its totient is φ = 1001272098816.

The previous prime is 4961376463679. The next prime is 4961376463739. The reversal of 4961376463680 is 863646731694.

4961376463680 is a `hidden beast` number, since 4 + 9 + 61 + 37 + 6 + 463 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 54204834 + ... + 54296286.

Almost surely, 2^{4961376463680} is an apocalyptic number.

4961376463680 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 4961376463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11332932855552).

4961376463680 is an abundant number, since it is smaller than the sum of its proper divisors (17704489247424).

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

4961376463680 is a wasteful number, since it uses less digits than its factorization.

4961376463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91525 (or 91506 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 4961376463680 in words is "four trillion, nine hundred sixty-one billion, three hundred seventy-six million, four hundred sixty-three thousand, six hundred eighty".