648248240640 has 2560 divisors, whose sum is σ = 2979313311744. Its totient is φ = 115935805440.

The previous prime is 648248240611. The next prime is 648248240699. The reversal of 648248240640 is 46042842846.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 648248240640.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12231098854 + ... + 12231098906.

Almost surely, 2^648248240640 is an apocalyptic number.

648248240640 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 648248240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489656655872).

648248240640 is an abundant number, since it is smaller than the sum of its proper divisors (2331065071104).

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

648248240640 is a wasteful number, since it uses less digits than its factorization.

648248240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

It can be divided in two parts, 648248 and 240640, that added together give a palindrome (888888).

The spelling of 648248240640 in words is "six hundred forty-eight billion, two hundred forty-eight million, two hundred forty thousand, six hundred forty".