8878494240 has 1440 divisors, whose sum is σ = 42046760448. Its totient is φ = 1741824000.

The previous prime is 8878494223. The next prime is 8878494263. The reversal of 8878494240 is 424948788.

8878494240 is a `hidden beast` number, since 88 + 78 + 494 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×8878494240⁴ (a number of 41 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 216548620 + ... + 216548660.

Almost surely, 2^8878494240 is an apocalyptic number.

8878494240 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 8878494240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21023380224).

8878494240 is an abundant number, since it is smaller than the sum of its proper divisors (33168266208).

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

8878494240 is a wasteful number, since it uses less digits than its factorization.

8878494240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The square root of 8878494240 is about 94225.7620823520. The cubic root of 8878494240 is about 2070.6805575758.

The spelling of 8878494240 in words is "eight billion, eight hundred seventy-eight million, four hundred ninety-four thousand, two hundred forty".