3672178856640 has 560 divisors, whose sum is σ = 14943135358272. Its totient is φ = 838541942784.

The previous prime is 3672178856611. The next prime is 3672178856641. The reversal of 3672178856640 is 466588712763.

3672178856640 is a `hidden beast` number, since 3 + 6 + 7 + 21 + 7 + 8 + 8 + 566 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3672178856641) 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 79 ways as a sum of consecutive naturals, for example, 198304662 + ... + 198323178.

Almost surely, 2^{3672178856640} is an apocalyptic number.

3672178856640 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 3672178856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7471567679136).

3672178856640 is an abundant number, since it is smaller than the sum of its proper divisors (11270956501632).

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

3672178856640 is a wasteful number, since it uses less digits than its factorization.

3672178856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19646 (or 19627 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 3672178856640 in words is "three trillion, six hundred seventy-two billion, one hundred seventy-eight million, eight hundred fifty-six thousand, six hundred forty".