872417078370640 has 160 divisors (see below), whose sum is σ = 2226952667407104. Its totient is φ = 315208946257920.

The previous prime is 872417078370589. The next prime is 872417078370709. The reversal of 872417078370640 is 46073870714278.

It is a super-2 number, since 2×872417078370640² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3747749932 + ... + 3747982708.

Almost surely, 2^{872417078370640} is an apocalyptic number.

872417078370640 is a gapful number since it is divisible by the number (80) 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 872417078370640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113476333703552).

872417078370640 is an abundant number, since it is smaller than the sum of its proper divisors (1354535589036464).

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

872417078370640 is a wasteful number, since it uses less digits than its factorization.

872417078370640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260085 (or 260079 counting only the distinct ones).

The product of its (nonzero) digits is 88510464, while the sum is 64.

The spelling of 872417078370640 in words is "eight hundred seventy-two trillion, four hundred seventeen billion, seventy-eight million, three hundred seventy thousand, six hundred forty".