652127898240 has 3072 divisors, whose sum is σ = 3182478336000. Its totient is φ = 122974765056.

The previous prime is 652127898239. The next prime is 652127898287. The reversal of 652127898240 is 42898721256.

652127898240 is a `hidden beast` number, since 6 + 521 + 2 + 7 + 8 + 98 + 24 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8933258844 + ... + 8933258916.

It is an arithmetic number, because the mean of its divisors is an integer number (1035963000).

Almost surely, 2^652127898240 is an apocalyptic number.

652127898240 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 652127898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591239168000).

652127898240 is an abundant number, since it is smaller than the sum of its proper divisors (2530350437760).

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

652127898240 is a wasteful number, since it uses less digits than its factorization.

652127898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 652127898240 in words is "six hundred fifty-two billion, one hundred twenty-seven million, eight hundred ninety-eight thousand, two hundred forty".