675405632264460 has 384 divisors, whose sum is σ = 2018314731847680. Its totient is φ = 168168910848000.

The previous prime is 675405632264453. The next prime is 675405632264479. The reversal of 675405632264460 is 64462236504576.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 675405632264394 and 675405632264403.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 315462694990 + ... + 315462697130.

It is an arithmetic number, because the mean of its divisors is an integer number (5256027947520).

Almost surely, 2^{675405632264460} is an apocalyptic number.

675405632264460 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 675405632264460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009157365923840).

675405632264460 is an abundant number, since it is smaller than the sum of its proper divisors (1342909099583220).

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

675405632264460 is a wasteful number, since it uses less digits than its factorization.

675405632264460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5097 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 60.

The spelling of 675405632264460 in words is "six hundred seventy-five trillion, four hundred five billion, six hundred thirty-two million, two hundred sixty-four thousand, four hundred sixty".