1683634861440 has 256 divisors, whose sum is σ = 6814713024000. Its totient is φ = 384830797824.

The previous prime is 1683634861427. The next prime is 1683634861453. The reversal of 1683634861440 is 441684363861.

1683634861440 is a `hidden beast` number, since 1 + 6 + 83 + 63 + 4 + 8 + 61 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (1683634861427) and next prime (1683634861453).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6838510 + ... + 7080429.

It is an arithmetic number, because the mean of its divisors is an integer number (26619972750).

Almost surely, 2^{1683634861440} is an apocalyptic number.

1683634861440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1683634861440 is an abundant number, since it is smaller than the sum of its proper divisors (5131078162560).

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

1683634861440 is a wasteful number, since it uses less digits than its factorization.

1683634861440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13918974 (or 13918956 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 1683634861440 in words is "one trillion, six hundred eighty-three billion, six hundred thirty-four million, eight hundred sixty-one thousand, four hundred forty".