464344909966080 has 3456 divisors, whose sum is σ = 1996511152656384. Its totient is φ = 98041135104000.

The previous prime is 464344909966019. The next prime is 464344909966121. The reversal of 464344909966080 is 80669909443464.

464344909966080 is a `hidden beast` number, since 4 + 6 + 4 + 3 + 4 + 4 + 9 + 0 + 9 + 9 + 6 + 608 + 0 = 666.

It is a super-2 number, since 2×464344909966080² (a number of 30 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 383 ways as a sum of consecutive naturals, for example, 1584794914414 + ... + 1584794914706.

It is an arithmetic number, because the mean of its divisors is an integer number (577694199264).

Almost surely, 2^{464344909966080} is an apocalyptic number.

464344909966080 is a gapful number since it is divisible by the number (40) 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 464344909966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998255576328192).

464344909966080 is an abundant number, since it is smaller than the sum of its proper divisors (1532166242690304).

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

464344909966080 is a wasteful number, since it uses less digits than its factorization.

464344909966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 72.

The spelling of 464344909966080 in words is "four hundred sixty-four trillion, three hundred forty-four billion, nine hundred nine million, nine hundred sixty-six thousand, eighty".