64817700948 has 432 divisors, whose sum is σ = 223995373056. Its totient is φ = 15344259840.

The previous prime is 64817700943. The next prime is 64817700979. The reversal of 64817700948 is 84900771846.

It is a happy number.

64817700948 is a `hidden beast` number, since 6 + 481 + 7 + 70 + 0 + 94 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 64817700894 and 64817700903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64817700943) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 38882011 + ... + 38883677.

It is an arithmetic number, because the mean of its divisors is an integer number (518507808).

Almost surely, 2^64817700948 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 64817700948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111997686528).

64817700948 is an abundant number, since it is smaller than the sum of its proper divisors (159177672108).

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

64817700948 is a wasteful number, since it uses less digits than its factorization.

64817700948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 64817700948 in words is "sixty-four billion, eight hundred seventeen million, seven hundred thousand, nine hundred forty-eight".