6721056515700 has 1152 divisors, whose sum is σ = 24030675271680. Its totient is φ = 1606832640000.

The previous prime is 6721056515687. The next prime is 6721056515759. The reversal of 6721056515700 is 75156501276.

6721056515700 is a `hidden beast` number, since 6 + 7 + 2 + 1 + 0 + 565 + 15 + 70 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5459834085 + ... + 5459835315.

Almost surely, 2^{6721056515700} is an apocalyptic number.

6721056515700 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 6721056515700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12015337635840).

6721056515700 is an abundant number, since it is smaller than the sum of its proper divisors (17309618755980).

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

6721056515700 is a wasteful number, since it uses less digits than its factorization.

6721056515700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 6721056515700 in words is "six trillion, seven hundred twenty-one billion, fifty-six million, five hundred fifteen thousand, seven hundred".