82461734640 has 80 divisors (see below), whose sum is σ = 284034871200. Its totient is φ = 21989795328.

The previous prime is 82461734623. The next prime is 82461734651. The reversal of 82461734640 is 4643716428.

82461734640 is a `hidden beast` number, since 8 + 24 + 617 + 3 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19086205 + ... + 19090524.

It is an arithmetic number, because the mean of its divisors is an integer number (3550435890).

Almost surely, 2^82461734640 is an apocalyptic number.

82461734640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82461734640 is an abundant number, since it is smaller than the sum of its proper divisors (201573136560).

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

82461734640 is a wasteful number, since it uses less digits than its factorization.

82461734640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38176751 (or 38176739 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 82461734640 in words is "eighty-two billion, four hundred sixty-one million, seven hundred thirty-four thousand, six hundred forty".