64677400248260 has 96 divisors (see below), whose sum is σ = 145886752982880. Its totient is φ = 23999601410048.

The previous prime is 64677400248173. The next prime is 64677400248283. The reversal of 64677400248260 is 6284200477646.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 16946214430084 + 47731185818176 = 4116578^2 + 6908776^2 .

It is a super-2 number, since 2×64677400248260² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64677400248196 and 64677400248205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6221144 + ... + 12963696.

It is an arithmetic number, because the mean of its divisors is an integer number (1519653676905).

Almost surely, 2^{64677400248260} 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 64677400248260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72943376491440).

64677400248260 is an abundant number, since it is smaller than the sum of its proper divisors (81209352734620).

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

64677400248260 is a wasteful number, since it uses less digits than its factorization.

64677400248260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6742985 (or 6742983 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 56.

The spelling of 64677400248260 in words is "sixty-four trillion, six hundred seventy-seven billion, four hundred million, two hundred forty-eight thousand, two hundred sixty".