1993906256640 has 288 divisors, whose sum is σ = 6934350124800. Its totient is φ = 486353387520.

The previous prime is 1993906256603. The next prime is 1993906256663. The reversal of 1993906256640 is 466526093991.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1644655 + ... + 2587025.

It is an arithmetic number, because the mean of its divisors is an integer number (24077604600).

Almost surely, 2^{1993906256640} is an apocalyptic number.

1993906256640 is a gapful number since it is divisible by the number (10) 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 1993906256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467175062400).

1993906256640 is an abundant number, since it is smaller than the sum of its proper divisors (4940443868160).

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

1993906256640 is a wasteful number, since it uses less digits than its factorization.

1993906256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942443 (or 942429 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 60.

The spelling of 1993906256640 in words is "one trillion, nine hundred ninety-three billion, nine hundred six million, two hundred fifty-six thousand, six hundred forty".