461703222766720 has 256 divisors, whose sum is σ = 1206223935638400. Its totient is φ = 167596303974400.

The previous prime is 461703222766717. The next prime is 461703222766777. The reversal of 461703222766720 is 27667222307164.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10997888130 + ... + 10997930110.

Almost surely, 2^{461703222766720} is an apocalyptic number.

461703222766720 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 461703222766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603111967819200).

461703222766720 is an abundant number, since it is smaller than the sum of its proper divisors (744520712871680).

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

461703222766720 is a wasteful number, since it uses less digits than its factorization.

461703222766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44727 (or 44715 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 55.

The spelling of 461703222766720 in words is "four hundred sixty-one trillion, seven hundred three billion, two hundred twenty-two million, seven hundred sixty-six thousand, seven hundred twenty".