460791797760 has 1536 divisors, whose sum is σ = 1971889920000. Its totient is φ = 101964054528.

The previous prime is 460791797759. The next prime is 460791797779. The reversal of 460791797760 is 67797197064.

460791797760 is a `hidden beast` number, since 4 + 607 + 9 + 17 + 9 + 7 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 4077803464 + ... + 4077803576.

It is an arithmetic number, because the mean of its divisors is an integer number (1283782500).

Almost surely, 2^460791797760 is an apocalyptic number.

460791797760 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 460791797760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985944960000).

460791797760 is an abundant number, since it is smaller than the sum of its proper divisors (1511098122240).

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

460791797760 is a wasteful number, since it uses less digits than its factorization.

460791797760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 28005264, while the sum is 63.

The spelling of 460791797760 in words is "four hundred sixty billion, seven hundred ninety-one million, seven hundred ninety-seven thousand, seven hundred sixty".