6454077663488 has 288 divisors, whose sum is σ = 16800893141760. Its totient is φ = 2401315061760.

The previous prime is 6454077663487. The next prime is 6454077663493. The reversal of 6454077663488 is 8843667704546.

It is a super-2 number, since 2×6454077663488² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is not an unprimeable number, because it can be changed into a prime (6454077663487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625329368 + ... + 625339688.

It is an arithmetic number, because the mean of its divisors is an integer number (58336434520).

Almost surely, 2^{6454077663488} is an apocalyptic number.

6454077663488 is a gapful number since it is divisible by the number (68) 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 6454077663488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8400446570880).

6454077663488 is an abundant number, since it is smaller than the sum of its proper divisors (10346815478272).

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

6454077663488 is a wasteful number, since it uses less digits than its factorization.

6454077663488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11953 (or 11939 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 68.

The spelling of 6454077663488 in words is "six trillion, four hundred fifty-four billion, seventy-seven million, six hundred sixty-three thousand, four hundred eighty-eight".