464009126713860 has 1536 divisors, whose sum is σ = 1792117426176000. Its totient is φ = 86809163857920.

The previous prime is 464009126713837. The next prime is 464009126713861. The reversal of 464009126713860 is 68317621900464.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 464009126713860.

It is not an unprimeable number, because it can be changed into a prime (464009126713861) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 295359086875 + ... + 295359088445.

It is an arithmetic number, because the mean of its divisors is an integer number (1166743116000).

Almost surely, 2^{464009126713860} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464009126713860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896058713088000).

464009126713860 is an abundant number, since it is smaller than the sum of its proper divisors (1328108299462140).

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

464009126713860 is a wasteful number, since it uses less digits than its factorization.

464009126713860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2461 (or 2459 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 464009126713860 in words is "four hundred sixty-four trillion, nine billion, one hundred twenty-six million, seven hundred thirteen thousand, eight hundred sixty".