874248560640 has 2688 divisors, whose sum is σ = 4179379317120. Its totient is φ = 171228266496.

The previous prime is 874248560621. The next prime is 874248560651. The reversal of 874248560640 is 46065842478.

It is a happy number.

874248560640 is a `hidden beast` number, since 8 + 7 + 4 + 24 + 8 + 5 + 606 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×874248560640² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11976007644 + ... + 11976007716.

It is an arithmetic number, because the mean of its divisors is an integer number (1554828615).

Almost surely, 2^874248560640 is an apocalyptic number.

874248560640 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 874248560640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089689658560).

874248560640 is an abundant number, since it is smaller than the sum of its proper divisors (3305130756480).

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

874248560640 is a wasteful number, since it uses less digits than its factorization.

874248560640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 874248560640 in words is "eight hundred seventy-four billion, two hundred forty-eight million, five hundred sixty thousand, six hundred forty".