64397773440000 has 8800 divisors, whose sum is σ = 346304185387776. Its totient is φ = 11466178560000.

The previous prime is 64397773439963. The next prime is 64397773440023. The reversal of 64397773440000 is 4437779346.

64397773440000 is a `hidden beast` number, since 6 + 43 + 97 + 7 + 73 + 440 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 799 ways as a sum of consecutive naturals, for example, 882161279964 + ... + 882161280036.

Almost surely, 2^{64397773440000} is an apocalyptic number.

64397773440000 is a gapful number since it is divisible by the number (60) 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 64397773440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173152092693888).

64397773440000 is an abundant number, since it is smaller than the sum of its proper divisors (281906411947776).

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

64397773440000 is a wasteful number, since it uses less digits than its factorization.

64397773440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 54.

The spelling of 64397773440000 in words is "sixty-four trillion, three hundred ninety-seven billion, seven hundred seventy-three million, four hundred forty thousand".