64420984793088 has 768 divisors, whose sum is σ = 245593700352000. Its totient is φ = 16192924876800.

The previous prime is 64420984793063. The next prime is 64420984793117. The reversal of 64420984793088 is 88039748902446.

64420984793088 is a `hidden beast` number, since 6 + 4 + 42 + 0 + 9 + 8 + 479 + 30 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×64420984793088² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131747518 + ... + 132235586.

It is an arithmetic number, because the mean of its divisors is an integer number (319783464000).

Almost surely, 2^{64420984793088} 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 64420984793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122796850176000).

64420984793088 is an abundant number, since it is smaller than the sum of its proper divisors (181172715558912).

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

64420984793088 is a wasteful number, since it uses less digits than its factorization.

64420984793088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488149 (or 488123 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 64420984793088 in words is "sixty-four trillion, four hundred twenty billion, nine hundred eighty-four million, seven hundred ninety-three thousand, eighty-eight".