6458397997140 has 384 divisors, whose sum is σ = 21880669708800. Its totient is φ = 1575897845760.

The previous prime is 6458397997123. The next prime is 6458397997157. The reversal of 6458397997140 is 417997938546.

6458397997140 is a `hidden beast` number, since 6 + 4 + 5 + 8 + 397 + 9 + 97 + 140 = 666.

It is an interprime number because it is at equal distance from previous prime (6458397997123) and next prime (6458397997157).

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 127 ways as a sum of consecutive naturals, for example, 51945850 + ... + 52070030.

It is an arithmetic number, because the mean of its divisors is an integer number (56980910700).

Almost surely, 2^{6458397997140} is an apocalyptic number.

6458397997140 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 6458397997140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10940334854400).

6458397997140 is an abundant number, since it is smaller than the sum of its proper divisors (15422271711660).

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

6458397997140 is a wasteful number, since it uses less digits than its factorization.

6458397997140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124392 (or 124384 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 6458397997140 in words is "six trillion, four hundred fifty-eight billion, three hundred ninety-seven million, nine hundred ninety-seven thousand, one hundred forty".