13802179472640 has 3456 divisors, whose sum is σ = 59937452789760. Its totient is φ = 3008151945216.

The previous prime is 13802179472639. The next prime is 13802179472647. The reversal of 13802179472640 is 4627497120831.

13802179472640 is a `hidden beast` number, since 1 + 3 + 80 + 21 + 79 + 472 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13802179472647) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 128992331467 + ... + 128992331573.

It is an arithmetic number, because the mean of its divisors is an integer number (17343012960).

Almost surely, 2^{13802179472640} is an apocalyptic number.

13802179472640 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 13802179472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29968726394880).

13802179472640 is an abundant number, since it is smaller than the sum of its proper divisors (46135273317120).

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

13802179472640 is a wasteful number, since it uses less digits than its factorization.

13802179472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 13802179472640 in words is "thirteen trillion, eight hundred two billion, one hundred seventy-nine million, four hundred seventy-two thousand, six hundred forty".