461711006976 has 72 divisors (see below), whose sum is σ = 1229483120544. Its totient is φ = 153821194240.

The previous prime is 461711006971. The next prime is 461711007001. The reversal of 461711006976 is 679600117164.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461711006971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1281391 + ... + 1601681.

It is an arithmetic number, because the mean of its divisors is an integer number (17076154452).

Almost surely, 2^461711006976 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 461711006976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614741560272).

461711006976 is an abundant number, since it is smaller than the sum of its proper divisors (767772113568).

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

461711006976 is a wasteful number, since it uses less digits than its factorization.

461711006976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322187 (or 322173 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 48.

The spelling of 461711006976 in words is "four hundred sixty-one billion, seven hundred eleven million, six thousand, nine hundred seventy-six".