6272640000000 has 1680 divisors, whose sum is σ = 25747162505064. Its totient is φ = 1520640000000.

The previous prime is 6272639999999. The next prime is 6272640000013. The reversal of 6272640000000 is 462726.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 3783616303104 + 2489023696896 = 1945152^2 + 1577664^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 570239999995 + ... + 570240000005.

Almost surely, 2^{6272640000000} is an apocalyptic number.

6272640000000 is a gapful number since it is divisible by the number (60) 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 6272640000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12873581252532).

6272640000000 is an abundant number, since it is smaller than the sum of its proper divisors (19474522505064).

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

6272640000000 is an frugal number, since it uses more digits than its factorization.

6272640000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 6272640000000 its reverse (462726), we get a palindrome (6272640462726).

The spelling of 6272640000000 in words is "six trillion, two hundred seventy-two billion, six hundred forty million", and thus it is an aban number.