6455600153340 has 192 divisors, whose sum is σ = 19994997087744. Its totient is φ = 1545908861952.

The previous prime is 6455600153267. The next prime is 6455600153363. The reversal of 6455600153340 is 433510065546.

It is a junction number, because it is equal to n+sod(n) for n = 6455600153292 and 6455600153301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 330927867 + ... + 330947373.

It is an arithmetic number, because the mean of its divisors is an integer number (104140609832).

Almost surely, 2^{6455600153340} is an apocalyptic number.

6455600153340 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 6455600153340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9997498543872).

6455600153340 is an abundant number, since it is smaller than the sum of its proper divisors (13539396934404).

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

6455600153340 is a wasteful number, since it uses less digits than its factorization.

6455600153340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31036 (or 31034 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 6455600153340 in words is "six trillion, four hundred fifty-five billion, six hundred million, one hundred fifty-three thousand, three hundred forty".