460729582350720 has 128 divisors (see below), whose sum is σ = 1545868993536000. Its totient is φ = 116394841847808.

The previous prime is 460729582350601. The next prime is 460729582350727. The reversal of 460729582350720 is 27053285927064.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460729582350727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6314787840 + ... + 6314860799.

It is an arithmetic number, because the mean of its divisors is an integer number (12077101512000).

Almost surely, 2^{460729582350720} is an apocalyptic number.

460729582350720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460729582350720 is an abundant number, since it is smaller than the sum of its proper divisors (1085139411185280).

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

460729582350720 is a wasteful number, since it uses less digits than its factorization.

460729582350720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12629648680 (or 12629648668 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 60.

The spelling of 460729582350720 in words is "four hundred sixty trillion, seven hundred twenty-nine billion, five hundred eighty-two million, three hundred fifty thousand, seven hundred twenty".