648156438540 has 240 divisors, whose sum is σ = 2190959971200. Its totient is φ = 159454241280.

The previous prime is 648156438539. The next prime is 648156438577. The reversal of 648156438540 is 45834651846.

648156438540 is a `hidden beast` number, since 6 + 4 + 8 + 1 + 5 + 64 + 38 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41038045 + ... + 41053835.

It is an arithmetic number, because the mean of its divisors is an integer number (9128999880).

Almost surely, 2^648156438540 is an apocalyptic number.

648156438540 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 648156438540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095479985600).

648156438540 is an abundant number, since it is smaller than the sum of its proper divisors (1542803532660).

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

648156438540 is a wasteful number, since it uses less digits than its factorization.

648156438540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17774 (or 17763 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 648156438540 in words is "six hundred forty-eight billion, one hundred fifty-six million, four hundred thirty-eight thousand, five hundred forty".