6450377154120 has 256 divisors, whose sum is σ = 21593334067200. Its totient is φ = 1712742071040.

The previous prime is 6450377154103. The next prime is 6450377154127. The reversal of 6450377154120 is 214517730546.

6450377154120 is a `hidden beast` number, since 6 + 4 + 5 + 0 + 37 + 71 + 541 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6450377154127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 586232539 + ... + 586243541.

It is an arithmetic number, because the mean of its divisors is an integer number (84348961200).

Almost surely, 2^{6450377154120} is an apocalyptic number.

6450377154120 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 6450377154120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10796667033600).

6450377154120 is an abundant number, since it is smaller than the sum of its proper divisors (15142956913080).

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

6450377154120 is a wasteful number, since it uses less digits than its factorization.

6450377154120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13297 (or 13287 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 6450377154120 in words is "six trillion, four hundred fifty billion, three hundred seventy-seven million, one hundred fifty-four thousand, one hundred twenty".