675350476416 has 1152 divisors, whose sum is σ = 2661258499200. Its totient is φ = 167671848960.

The previous prime is 675350476391. The next prime is 675350476433. The reversal of 675350476416 is 614674053576.

675350476416 is a `hidden beast` number, since 6 + 7 + 53 + 504 + 76 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 471283636 + ... + 471285068.

It is an arithmetic number, because the mean of its divisors is an integer number (2310120225).

Almost surely, 2^675350476416 is an apocalyptic number.

675350476416 is a gapful number since it is divisible by the number (66) 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 675350476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330629249600).

675350476416 is an abundant number, since it is smaller than the sum of its proper divisors (1985908022784).

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

675350476416 is a wasteful number, since it uses less digits than its factorization.

675350476416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 675350476416 in words is "six hundred seventy-five billion, three hundred fifty million, four hundred seventy-six thousand, four hundred sixteen".