654216565232340 has 288 divisors, whose sum is σ = 2173310543319552. Its totient is φ = 157979268864000.

The previous prime is 654216565232333. The next prime is 654216565232429. The reversal of 654216565232340 is 43232565612456.

654216565232340 is a `hidden beast` number, since 6 + 5 + 4 + 2 + 1 + 6 + 5 + 65 + 232 + 340 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2582432880 + ... + 2582686200.

It is an arithmetic number, because the mean of its divisors is an integer number (7546217164304).

Almost surely, 2^{654216565232340} is an apocalyptic number.

654216565232340 is a gapful number since it is divisible by the number (60) 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 654216565232340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086655271659776).

654216565232340 is an abundant number, since it is smaller than the sum of its proper divisors (1519093978087212).

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

654216565232340 is a wasteful number, since it uses less digits than its factorization.

654216565232340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258431 (or 258426 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 654216565232340 in words is "six hundred fifty-four trillion, two hundred sixteen billion, five hundred sixty-five million, two hundred thirty-two thousand, three hundred forty".