97424886240 has 768 divisors, whose sum is σ = 383584481280. Its totient is φ = 22892544000.

The previous prime is 97424886233. The next prime is 97424886257. The reversal of 97424886240 is 4268842479.

97424886240 is a `hidden beast` number, since 9 + 7 + 4 + 2 + 4 + 8 + 8 + 624 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 127 ways as a sum of consecutive naturals, for example, 404252520 + ... + 404252760.

It is an arithmetic number, because the mean of its divisors is an integer number (499458960).

Almost surely, 2^97424886240 is an apocalyptic number.

97424886240 is a gapful number since it is divisible by the number (90) 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 97424886240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191792240640).

97424886240 is an abundant number, since it is smaller than the sum of its proper divisors (286159595040).

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

97424886240 is a wasteful number, since it uses less digits than its factorization.

97424886240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 97424886240 in words is "ninety-seven billion, four hundred twenty-four million, eight hundred eighty-six thousand, two hundred forty".