973695406464 has 320 divisors, whose sum is σ = 3327511809600. Its totient is φ = 279529159680.

The previous prime is 973695406457. The next prime is 973695406499. The reversal of 973695406464 is 464604596379.

973695406464 is a `hidden beast` number, since 9 + 73 + 69 + 5 + 40 + 6 + 464 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1942239 + ... + 2391585.

It is an arithmetic number, because the mean of its divisors is an integer number (10398474405).

Almost surely, 2^973695406464 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 973695406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663755904800).

973695406464 is an abundant number, since it is smaller than the sum of its proper divisors (2353816403136).

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

973695406464 is a wasteful number, since it uses less digits than its factorization.

973695406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449403 (or 449382 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 973695406464 in words is "nine hundred seventy-three billion, six hundred ninety-five million, four hundred six thousand, four hundred sixty-four".