64446422040 has 1280 divisors, whose sum is σ = 300685271040. Its totient is φ = 11943936000.

The previous prime is 64446422023. The next prime is 64446422057. The reversal of 64446422040 is 4022464446.

64446422040 is a `hidden beast` number, since 6 + 4 + 4 + 4 + 642 + 2 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64446422023) and next prime (64446422057).

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

It is a junction number, because it is equal to n+sod(n) for n = 64446421986 and 64446422004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 100540120 + ... + 100540760.

It is an arithmetic number, because the mean of its divisors is an integer number (234910368).

Almost surely, 2^64446422040 is an apocalyptic number.

64446422040 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 64446422040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150342635520).

64446422040 is an abundant number, since it is smaller than the sum of its proper divisors (236238849000).

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

64446422040 is a wasteful number, since it uses less digits than its factorization.

64446422040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 64446422040 its reverse (4022464446), we get a palindrome (68468886486).

The spelling of 64446422040 in words is "sixty-four billion, four hundred forty-six million, four hundred twenty-two thousand, forty".