879526674432 has 528 divisors, whose sum is σ = 3041037447120. Its totient is φ = 250500612096.

The previous prime is 879526674427. The next prime is 879526674473. The reversal of 879526674432 is 234476625978.

879526674432 is a `hidden beast` number, since 8 + 7 + 9 + 526 + 6 + 74 + 4 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 879526674432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2774531938 + ... + 2774532254.

Almost surely, 2^879526674432 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 879526674432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520518723560).

879526674432 is an abundant number, since it is smaller than the sum of its proper divisors (2161510772688).

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

879526674432 is an frugal number, since it uses more digits than its factorization.

879526674432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 329 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 63.

The spelling of 879526674432 in words is "eight hundred seventy-nine billion, five hundred twenty-six million, six hundred seventy-four thousand, four hundred thirty-two".