64217700771246 has 256 divisors, whose sum is σ = 160790669844480. Its totient is φ = 18827154570240.

The previous prime is 64217700771227. The next prime is 64217700771277.

It is a happy number.

64217700771246 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 64217700771192 and 64217700771201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3958427491 + ... + 3958443713.

It is an arithmetic number, because the mean of its divisors is an integer number (628088554080).

Almost surely, 2^{64217700771246} is an apocalyptic number.

64217700771246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64217700771246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80395334922240).

64217700771246 is an abundant number, since it is smaller than the sum of its proper divisors (96572969073234).

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

64217700771246 is a wasteful number, since it uses less digits than its factorization.

64217700771246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17288 (or 17282 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 54.

It can be divided in two parts, 64217700 and 771246, that added together give a palindrome (64988946).

The spelling of 64217700771246 in words is "sixty-four trillion, two hundred seventeen billion, seven hundred million, seven hundred seventy-one thousand, two hundred forty-six".