8678444544 has 640 divisors, whose sum is σ = 33186447360. Its totient is φ = 2173132800.

The previous prime is 8678444507. The next prime is 8678444581. The reversal of 8678444544 is 4454448768.

8678444544 is a `hidden beast` number, since 86 + 7 + 84 + 445 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (8678444507) and next prime (8678444581).

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 63 ways as a sum of consecutive naturals, for example, 32997757 + ... + 32998019.

It is an arithmetic number, because the mean of its divisors is an integer number (51853824).

Almost surely, 2^8678444544 is an apocalyptic number.

8678444544 is a gapful number since it is divisible by the number (84) 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 8678444544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16593223680).

8678444544 is an abundant number, since it is smaller than the sum of its proper divisors (24508002816).

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

8678444544 is a wasteful number, since it uses less digits than its factorization.

8678444544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its digits is 13762560, while the sum is 54.

The square root of 8678444544 is about 93158.1694968294. The cubic root of 8678444544 is about 2055.0101166320.

It can be divided in two parts, 86784 and 44544, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 8678444544 in words is "eight billion, six hundred seventy-eight million, four hundred forty-four thousand, five hundred forty-four".