464917781790 has 384 divisors, whose sum is σ = 1539185836032. Its totient is φ = 94565180160.

The previous prime is 464917781773. The next prime is 464917781833. The reversal of 464917781790 is 97187719464.

464917781790 is a `hidden beast` number, since 4 + 6 + 491 + 7 + 78 + 1 + 79 + 0 = 666.

It is a super-2 number, since 2×464917781790² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75679459 + ... + 75685601.

It is an arithmetic number, because the mean of its divisors is an integer number (4008296448).

Almost surely, 2^464917781790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464917781790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769592918016).

464917781790 is an abundant number, since it is smaller than the sum of its proper divisors (1074268054242).

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

464917781790 is a wasteful number, since it uses less digits than its factorization.

464917781790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6404 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 464917781790 in words is "four hundred sixty-four billion, nine hundred seventeen million, seven hundred eighty-one thousand, seven hundred ninety".