356876982483840 has 5120 divisors, whose sum is σ = 1707043149504000. Its totient is φ = 70355197624320.

The previous prime is 356876982483799. The next prime is 356876982483841. The reversal of 356876982483840 is 48384289678653.

356876982483840 is a `hidden beast` number, since 3 + 5 + 6 + 8 + 7 + 6 + 98 + 2 + 483 + 8 + 40 = 666.

It is a super-2 number, since 2×356876982483840² (a number of 30 digits) contains 22 as substring.

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 356876982483840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (356876982483841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 774136621210 + ... + 774136621670.

Almost surely, 2^{356876982483840} is an apocalyptic number.

356876982483840 is a gapful number since it is divisible by the number (30) 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 356876982483840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853521574752000).

356876982483840 is an abundant number, since it is smaller than the sum of its proper divisors (1350166167020160).

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

356876982483840 is a wasteful number, since it uses less digits than its factorization.

356876982483840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 13377208320, while the sum is 81.

The spelling of 356876982483840 in words is "three hundred fifty-six trillion, eight hundred seventy-six billion, nine hundred eighty-two million, four hundred eighty-three thousand, eight hundred forty".