6451971561600 has 384 divisors, whose sum is σ = 21612721786560. Its totient is φ = 1691289600000.

The previous prime is 6451971561577. The next prime is 6451971561611. The reversal of 6451971561600 is 61651791546.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1675399675 + ... + 1675403525.

Almost surely, 2^{6451971561600} is an apocalyptic number.

6451971561600 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 6451971561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10806360893280).

6451971561600 is an abundant number, since it is smaller than the sum of its proper divisors (15160750224960).

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

6451971561600 is a wasteful number, since it uses less digits than its factorization.

6451971561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6800 (or 6783 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 6451971561600 in words is "six trillion, four hundred fifty-one billion, nine hundred seventy-one million, five hundred sixty-one thousand, six hundred".