24680494080 has 1056 divisors, whose sum is σ = 102084053760. Its totient is φ = 5449973760.

The previous prime is 24680494067. The next prime is 24680494093. The reversal of 24680494080 is 8049408642.

24680494080 is a `hidden beast` number, since 2 + 4 + 6 + 80 + 494 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (24680494067) and next prime (24680494093).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 338088924 + ... + 338088996.

Almost surely, 2^24680494080 is an apocalyptic number.

24680494080 is a gapful number since it is divisible by the number (20) 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 24680494080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51042026880).

24680494080 is an abundant number, since it is smaller than the sum of its proper divisors (77403559680).

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

24680494080 is a wasteful number, since it uses less digits than its factorization.

24680494080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 24680494080 in words is "twenty-four billion, six hundred eighty million, four hundred ninety-four thousand, eighty".