64823020416 has 1536 divisors, whose sum is σ = 271257984000. Its totient is φ = 14987427840.

The previous prime is 64823020387. The next prime is 64823020459. The reversal of 64823020416 is 61402032846.

64823020416 is a `hidden beast` number, since 6 + 4 + 8 + 230 + 2 + 0 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 728348500 + ... + 728348588.

It is an arithmetic number, because the mean of its divisors is an integer number (176600250).

Almost surely, 2^64823020416 is an apocalyptic number.

64823020416 is a gapful number since it is divisible by the number (66) 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 64823020416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135628992000).

64823020416 is an abundant number, since it is smaller than the sum of its proper divisors (206434963584).

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

64823020416 is a wasteful number, since it uses less digits than its factorization.

64823020416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 64823020416 in words is "sixty-four billion, eight hundred twenty-three million, twenty thousand, four hundred sixteen".