6490036224000 has 2400 divisors, whose sum is σ = 28975951420416. Its totient is φ = 1418939596800.

The previous prime is 6490036223959. The next prime is 6490036224031. The reversal of 6490036224000 is 4226300946.

6490036224000 is a `hidden beast` number, since 649 + 0 + 0 + 3 + 6 + 2 + 2 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 282175487989 + ... + 282175488011.

Almost surely, 2^{6490036224000} is an apocalyptic number.

6490036224000 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 6490036224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14487975710208).

6490036224000 is an abundant number, since it is smaller than the sum of its proper divisors (22485915196416).

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

6490036224000 is an frugal number, since it uses more digits than its factorization.

6490036224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 6490036224000 in words is "six trillion, four hundred ninety billion, thirty-six million, two hundred twenty-four thousand".