1793978585640 has 1024 divisors, whose sum is σ = 6618931200000. Its totient is φ = 430608752640.

The previous prime is 1793978585617. The next prime is 1793978585647. The reversal of 1793978585640 is 465858793971.

1793978585640 is a `hidden beast` number, since 1 + 7 + 9 + 3 + 9 + 7 + 8 + 58 + 564 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (1793978585647) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9392557945 + ... + 9392558135.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800000).

Almost surely, 2^{1793978585640} is an apocalyptic number.

1793978585640 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 1793978585640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3309465600000).

1793978585640 is an abundant number, since it is smaller than the sum of its proper divisors (4824952614360).

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

1793978585640 is a wasteful number, since it uses less digits than its factorization.

1793978585640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 72.

The spelling of 1793978585640 in words is "one trillion, seven hundred ninety-three billion, nine hundred seventy-eight million, five hundred eighty-five thousand, six hundred forty".