64097842400 has 72 divisors (see below), whose sum is σ = 157914658440. Its totient is φ = 25403880960.

The previous prime is 64097842387. The next prime is 64097842427. The reversal of 64097842400 is 424879046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 280334 + ... + 454733.

It is an arithmetic number, because the mean of its divisors is an integer number (2193259145).

Almost surely, 2^64097842400 is an apocalyptic number.

It is an amenable number.

64097842400 is an abundant number, since it is smaller than the sum of its proper divisors (93816816040).

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

64097842400 is a wasteful number, since it uses less digits than its factorization.

64097842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735196 (or 735183 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 44.

The spelling of 64097842400 in words is "sixty-four billion, ninety-seven million, eight hundred forty-two thousand, four hundred".