97678952784 has 480 divisors, whose sum is σ = 347484704000. Its totient is φ = 26255093760.

The previous prime is 97678952759. The next prime is 97678952797. The reversal of 97678952784 is 48725987679.

97678952784 is a `hidden beast` number, since 97 + 6 + 7 + 8 + 9 + 527 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 42821724 + ... + 42824004.

Almost surely, 2^97678952784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97678952784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173742352000).

97678952784 is an abundant number, since it is smaller than the sum of its proper divisors (249805751216).

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

97678952784 is a wasteful number, since it uses less digits than its factorization.

97678952784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2353 (or 2310 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

The spelling of 97678952784 in words is "ninety-seven billion, six hundred seventy-eight million, nine hundred fifty-two thousand, seven hundred eighty-four".