4761419485760 has 168 divisors, whose sum is σ = 13614714618624. Its totient is φ = 1579825658880.

The previous prime is 4761419485747. The next prime is 4761419485783. The reversal of 4761419485760 is 675849141674.

It is a super-2 number, since 2×4761419485760² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

It is a junction number, because it is equal to n+sod(n) for n = 4761419485693 and 4761419485702.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4411694 + ... + 5383853.

It is an arithmetic number, because the mean of its divisors is an integer number (81039967968).

Almost surely, 2^{4761419485760} is an apocalyptic number.

4761419485760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4761419485760 is an abundant number, since it is smaller than the sum of its proper divisors (8853295132864).

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

4761419485760 is a wasteful number, since it uses less digits than its factorization.

4761419485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9795609 (or 9795592 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 62.

The spelling of 4761419485760 in words is "four trillion, seven hundred sixty-one billion, four hundred nineteen million, four hundred eighty-five thousand, seven hundred sixty".