464806070820 has 1152 divisors, whose sum is σ = 1888911360000. Its totient is φ = 94707325440.

The previous prime is 464806070803. The next prime is 464806070903. The reversal of 464806070820 is 28070608464.

464806070820 is a `hidden beast` number, since 46 + 480 + 60 + 70 + 8 + 2 + 0 = 666.

It is a super-2 number, since 2×464806070820² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 970367341 + ... + 970367819.

It is an arithmetic number, because the mean of its divisors is an integer number (1639680000).

Almost surely, 2^464806070820 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 464806070820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944455680000).

464806070820 is an abundant number, since it is smaller than the sum of its proper divisors (1424105289180).

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

464806070820 is a wasteful number, since it uses less digits than its factorization.

464806070820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 464806070820 in words is "four hundred sixty-four billion, eight hundred six million, seventy thousand, eight hundred twenty".