8461963503840 has 1536 divisors, whose sum is σ = 36451777904640. Its totient is φ = 1598297702400.

The previous prime is 8461963503827. The next prime is 8461963503887. The reversal of 8461963503840 is 483053691648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1229397039 + ... + 1229403921.

It is an arithmetic number, because the mean of its divisors is an integer number (23731626240).

Almost surely, 2^{8461963503840} is an apocalyptic number.

8461963503840 is a gapful number since it is divisible by the number (80) 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 8461963503840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18225888952320).

8461963503840 is an abundant number, since it is smaller than the sum of its proper divisors (27989814400800).

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

8461963503840 is a wasteful number, since it uses less digits than its factorization.

8461963503840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7016 (or 7008 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 8461963503840 in words is "eight trillion, four hundred sixty-one billion, nine hundred sixty-three million, five hundred three thousand, eight hundred forty".