6412496033280 has 640 divisors, whose sum is σ = 21656249911296. Its totient is φ = 1615527936000.

The previous prime is 6412496033231. The next prime is 6412496033341. The reversal of 6412496033280 is 823306942146.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×6412496033280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5339296680 + ... + 5339297880.

Almost surely, 2^{6412496033280} is an apocalyptic number.

6412496033280 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 6412496033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10828124955648).

6412496033280 is an abundant number, since it is smaller than the sum of its proper divisors (15243753878016).

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

6412496033280 is a wasteful number, since it uses less digits than its factorization.

6412496033280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 6412496033280 in words is "six trillion, four hundred twelve billion, four hundred ninety-six million, thirty-three thousand, two hundred eighty".