24797680364240 has 240 divisors, whose sum is σ = 68575087163520. Its totient is φ = 8168584320000.

The previous prime is 24797680364239. The next prime is 24797680364263. The reversal of 24797680364240 is 4246308679742.

It is a super-2 number, since 2×24797680364240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (62).

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, 74638490 + ... + 74969990.

It is an arithmetic number, because the mean of its divisors is an integer number (285729529848).

Almost surely, 2^{24797680364240} is an apocalyptic number.

24797680364240 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 24797680364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34287543581760).

24797680364240 is an abundant number, since it is smaller than the sum of its proper divisors (43777406799280).

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

24797680364240 is a wasteful number, since it uses less digits than its factorization.

24797680364240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331722 (or 331685 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 62.

The spelling of 24797680364240 in words is "twenty-four trillion, seven hundred ninety-seven billion, six hundred eighty million, three hundred sixty-four thousand, two hundred forty".