64675398205440 has 840 divisors, whose sum is σ = 253876618387728. Its totient is φ = 15678725160960.

The previous prime is 64675398205399. The next prime is 64675398205441. The reversal of 64675398205440 is 4450289357646.

64675398205440 is a `hidden beast` number, since 6 + 4 + 6 + 7 + 5 + 3 + 9 + 82 + 0 + 544 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (64675398205441) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 656867254 + ... + 656965706.

Almost surely, 2^{64675398205440} is an apocalyptic number.

64675398205440 is a gapful number since it is divisible by the number (60) 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 64675398205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126938309193864).

64675398205440 is an abundant number, since it is smaller than the sum of its proper divisors (189201220182288).

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

64675398205440 is an frugal number, since it uses more digits than its factorization.

64675398205440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98515 (or 98474 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 64675398205440 in words is "sixty-four trillion, six hundred seventy-five billion, three hundred ninety-eight million, two hundred five thousand, four hundred forty".