657109001340 has 768 divisors, whose sum is σ = 2382815232000. Its totient is φ = 148776376320.

The previous prime is 657109001303. The next prime is 657109001383. The reversal of 657109001340 is 43100901756.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 657109001295 and 657109001304.

It is a congruent number.

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, 1154848576 + ... + 1154849144.

It is an arithmetic number, because the mean of its divisors is an integer number (3102624000).

Almost surely, 2^657109001340 is an apocalyptic number.

657109001340 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 657109001340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191407616000).

657109001340 is an abundant number, since it is smaller than the sum of its proper divisors (1725706230660).

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

657109001340 is a wasteful number, since it uses less digits than its factorization.

657109001340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 657109001340 in words is "six hundred fifty-seven billion, one hundred nine million, one thousand, three hundred forty".