461963298720 has 768 divisors, whose sum is σ = 1873289908224. Its totient is φ = 92897280000.

The previous prime is 461963298673. The next prime is 461963298739. The reversal of 461963298720 is 27892369164.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 288545920 + ... + 288547520.

It is an arithmetic number, because the mean of its divisors is an integer number (2439179568).

Almost surely, 2^461963298720 is an apocalyptic number.

461963298720 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 461963298720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936644954112).

461963298720 is an abundant number, since it is smaller than the sum of its proper divisors (1411326609504).

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

461963298720 is a wasteful number, since it uses less digits than its factorization.

461963298720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 461963298720 in words is "four hundred sixty-one billion, nine hundred sixty-three million, two hundred ninety-eight thousand, seven hundred twenty".