625528918151640 has 1280 divisors, whose sum is σ = 2366011706572800. Its totient is φ = 147567198643200.

The previous prime is 625528918151567. The next prime is 625528918151693. The reversal of 625528918151640 is 46151819825526.

It is a happy number.

625528918151640 is a `hidden beast` number, since 6 + 2 + 5 + 5 + 28 + 91 + 8 + 1 + 516 + 4 + 0 = 666.

625528918151640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×625528918151640⁴ (a number of 60 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 6368148207 + ... + 6368246433.

It is an arithmetic number, because the mean of its divisors is an integer number (1848446645760).

Almost surely, 2^{625528918151640} is an apocalyptic number.

625528918151640 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 625528918151640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183005853286400).

625528918151640 is an abundant number, since it is smaller than the sum of its proper divisors (1740482788421160).

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

625528918151640 is a wasteful number, since it uses less digits than its factorization.

625528918151640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98418 (or 98405 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 625528918151640 in words is "six hundred twenty-five trillion, five hundred twenty-eight billion, nine hundred eighteen million, one hundred fifty-one thousand, six hundred forty".