5642671400000 has 168 divisors, whose sum is σ = 14012868509640. Its totient is φ = 2254279680000.

The previous prime is 5642671399951. The next prime is 5642671400087. The reversal of 5642671400000 is 41762465.

It can be written as a sum of positive squares in 12 ways, for example, as 5455999012864 + 186672387136 = 2335808^2 + 432056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165782984 + ... + 165817016.

It is an arithmetic number, because the mean of its divisors is an integer number (83409931605).

Almost surely, 2^{5642671400000} is an apocalyptic number.

5642671400000 is a gapful number since it is divisible by the number (50) 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 5642671400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006434254820).

5642671400000 is an abundant number, since it is smaller than the sum of its proper divisors (8370197109640).

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

5642671400000 is an frugal number, since it uses more digits than its factorization.

5642671400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34899 (or 34869 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 5642671400000 in words is "five trillion, six hundred forty-two billion, six hundred seventy-one million, four hundred thousand".