879551447040 has 1008 divisors, whose sum is σ = 3630810572928. Its totient is φ = 200275918848.

The previous prime is 879551447039. The next prime is 879551447057. The reversal of 879551447040 is 40744155978.

879551447040 is a `hidden beast` number, since 8 + 7 + 9 + 551 + 4 + 47 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×879551447040² (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 55 ways as a sum of consecutive naturals, for example, 3344301949 + ... + 3344302211.

It is an arithmetic number, because the mean of its divisors is an integer number (3601994616).

Almost surely, 2^879551447040 is an apocalyptic number.

879551447040 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 879551447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1815405286464).

879551447040 is an abundant number, since it is smaller than the sum of its proper divisors (2751259125888).

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

879551447040 is an frugal number, since it uses more digits than its factorization.

879551447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 879551447040 in words is "eight hundred seventy-nine billion, five hundred fifty-one million, four hundred forty-seven thousand, forty".