675158665789440 has 1360 divisors, whose sum is σ = 2825238198385152. Its totient is φ = 151036580855808.

The previous prime is 675158665789411. The next prime is 675158665789511. The reversal of 675158665789440 is 44987566851576.

675158665789440 is a `hidden beast` number, since 6 + 7 + 5 + 15 + 86 + 6 + 5 + 7 + 89 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 675158665789440.

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, 8732305662 + ... + 8732382978.

Almost surely, 2^{675158665789440} is an apocalyptic number.

675158665789440 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 675158665789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412619099192576).

675158665789440 is an abundant number, since it is smaller than the sum of its proper divisors (2150079532595712).

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

675158665789440 is an frugal number, since it uses more digits than its factorization.

675158665789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77420 (or 77381 counting only the distinct ones).

The product of its (nonzero) digits is 12192768000, while the sum is 81.

The spelling of 675158665789440 in words is "six hundred seventy-five trillion, one hundred fifty-eight billion, six hundred sixty-five million, seven hundred eighty-nine thousand, four hundred forty".