6451902720 has 216 divisors, whose sum is σ = 23150801856. Its totient is φ = 1720424448.

The previous prime is 6451902647. The next prime is 6451902727. The reversal of 6451902720 is 272091546.

6451902720 is a `hidden beast` number, since 645 + 1 + 9 + 0 + 2 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-4 number, since 4×6451902720⁴ (a number of 40 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6451902727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 300669 + ... + 321411.

Almost surely, 2^6451902720 is an apocalyptic number.

6451902720 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 6451902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11575400928).

6451902720 is an abundant number, since it is smaller than the sum of its proper divisors (16698899136).

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

6451902720 is an equidigital number, since it uses as much as digits as its factorization.

6451902720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20779 (or 20753 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6451902720 is about 80323.7369648599. The cubic root of 6451902720 is about 1861.6410075506.

The spelling of 6451902720 in words is "six billion, four hundred fifty-one million, nine hundred two thousand, seven hundred twenty".