6354087840 has 144 divisors (see below), whose sum is σ = 21750464736. Its totient is φ = 1689177600.

The previous prime is 6354087821. The next prime is 6354087853. The reversal of 6354087840 is 487804536.

6354087840 is a `hidden beast` number, since 63 + 540 + 8 + 7 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469975 + ... + 483305.

It is an arithmetic number, because the mean of its divisors is an integer number (151044894).

Almost surely, 2^6354087840 is an apocalyptic number.

6354087840 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 6354087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10875232368).

6354087840 is an abundant number, since it is smaller than the sum of its proper divisors (15396376896).

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

6354087840 is a wasteful number, since it uses less digits than its factorization.

6354087840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13683 (or 13672 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 6354087840 is about 79712.5325152827. The cubic root of 6354087840 is about 1852.1851792811.

The spelling of 6354087840 in words is "six billion, three hundred fifty-four million, eighty-seven thousand, eight hundred forty".