8557879680 has 384 divisors, whose sum is σ = 35553772800. Its totient is φ = 1852968960.

The previous prime is 8557879663. The next prime is 8557879697. The reversal of 8557879680 is 869787558.

8557879680 is a `hidden beast` number, since 8 + 557 + 8 + 79 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8557879663) and next prime (8557879697).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 760495 + ... + 771665.

It is an arithmetic number, because the mean of its divisors is an integer number (92587950).

Almost surely, 2^8557879680 is an apocalyptic number.

8557879680 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 8557879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17776886400).

8557879680 is an abundant number, since it is smaller than the sum of its proper divisors (26995893120).

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

8557879680 is a wasteful number, since it uses less digits than its factorization.

8557879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222 (or 11207 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The square root of 8557879680 is about 92508.8086616621. The cubic root of 8557879680 is about 2045.4493290749.

It can be divided in two parts, 855 and 7879680, that multiplied together give a square (6737126400 = 82080²).

The spelling of 8557879680 in words is "eight billion, five hundred fifty-seven million, eight hundred seventy-nine thousand, six hundred eighty".