461739626880 has 512 divisors, whose sum is σ = 1722524037120. Its totient is φ = 103027507200.

The previous prime is 461739626869. The next prime is 461739626893. The reversal of 461739626880 is 88626937164.

It is a super-3 number, since 3×461739626880³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112316025 + ... + 112320135.

It is an arithmetic number, because the mean of its divisors is an integer number (3364304760).

Almost surely, 2^461739626880 is an apocalyptic number.

461739626880 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 461739626880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861262018560).

461739626880 is an abundant number, since it is smaller than the sum of its proper divisors (1260784410240).

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

461739626880 is a wasteful number, since it uses less digits than its factorization.

461739626880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4338 (or 4326 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 461739626880 in words is "four hundred sixty-one billion, seven hundred thirty-nine million, six hundred twenty-six thousand, eight hundred eighty".