872463277416 has 128 divisors (see below), whose sum is σ = 2367465408000. Its totient is φ = 267058891008.

The previous prime is 872463277409. The next prime is 872463277451. The reversal of 872463277416 is 614772364278.

872463277416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×872463277416² (a number of 25 digits) contains 22 as substring.

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

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, 1788475 + ... + 2223413.

It is an arithmetic number, because the mean of its divisors is an integer number (18495823500).

Almost surely, 2^872463277416 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 872463277416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183732704000).

872463277416 is an abundant number, since it is smaller than the sum of its proper divisors (1495002130584).

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

872463277416 is a wasteful number, since it uses less digits than its factorization.

872463277416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435103 (or 435099 counting only the distinct ones).

The product of its digits is 18966528, while the sum is 57.

The spelling of 872463277416 in words is "eight hundred seventy-two billion, four hundred sixty-three million, two hundred seventy-seven thousand, four hundred sixteen".