6454005600 has 216 divisors, whose sum is σ = 24438076488. Its totient is φ = 1475174400.

The previous prime is 6454005589. The next prime is 6454005601. The reversal of 6454005600 is 65004546.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6454005601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 90160 + ... + 145040.

It is an arithmetic number, because the mean of its divisors is an integer number (113139243).

Almost surely, 2^6454005600 is an apocalyptic number.

6454005600 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 6454005600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12219038244).

6454005600 is an abundant number, since it is smaller than the sum of its proper divisors (17984070888).

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

6454005600 is a wasteful number, since it uses less digits than its factorization.

6454005600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54918 (or 54898 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 6454005600 is about 80336.8259268438. The cubic root of 6454005600 is about 1861.8432415566.

The spelling of 6454005600 in words is "six billion, four hundred fifty-four million, five thousand, six hundred".