461779777536 has 1152 divisors, whose sum is σ = 1699184148480. Its totient is φ = 108026265600.

The previous prime is 461779777519. The next prime is 461779777583. The reversal of 461779777536 is 635777977164.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12480534510 + ... + 12480534546.

It is an arithmetic number, because the mean of its divisors is an integer number (1474986240).

Almost surely, 2^461779777536 is an apocalyptic number.

461779777536 is a gapful number since it is divisible by the number (46) 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 461779777536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849592074240).

461779777536 is an abundant number, since it is smaller than the sum of its proper divisors (1237404370944).

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

461779777536 is a wasteful number, since it uses less digits than its factorization.

461779777536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 114 counting only the distinct ones).

The product of its digits is 326728080, while the sum is 69.

The spelling of 461779777536 in words is "four hundred sixty-one billion, seven hundred seventy-nine million, seven hundred seventy-seven thousand, five hundred thirty-six".