1357676506368 has 864 divisors, whose sum is σ = 5198243371776. Its totient is φ = 330601070592.

The previous prime is 1357676506357. The next prime is 1357676506391. The reversal of 1357676506368 is 8636056767531.

1357676506368 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 67 + 6 + 506 + 3 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188903671 + ... + 188910857.

It is an arithmetic number, because the mean of its divisors is an integer number (6016485384).

Almost surely, 2^{1357676506368} is an apocalyptic number.

1357676506368 is a gapful number since it is divisible by the number (18) 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 1357676506368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599121685888).

1357676506368 is an abundant number, since it is smaller than the sum of its proper divisors (3840566865408).

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

1357676506368 is a wasteful number, since it uses less digits than its factorization.

1357676506368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7299 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 1357676506368 in words is "one trillion, three hundred fifty-seven billion, six hundred seventy-six million, five hundred six thousand, three hundred sixty-eight".