676417458000 has 320 divisors, whose sum is σ = 2255504209920. Its totient is φ = 174219264000.

The previous prime is 676417457993. The next prime is 676417458001. The reversal of 676417458000 is 854714676.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (676417458001) 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, 103598736 + ... + 103605264.

It is an arithmetic number, because the mean of its divisors is an integer number (7048450656).

Almost surely, 2^676417458000 is an apocalyptic number.

676417458000 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 676417458000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1127752104960).

676417458000 is an abundant number, since it is smaller than the sum of its proper divisors (1579086751920).

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

676417458000 is a wasteful number, since it uses less digits than its factorization.

676417458000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7143 (or 7127 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 676417458000 in words is "six hundred seventy-six billion, four hundred seventeen million, four hundred fifty-eight thousand".