675738337680 has 480 divisors, whose sum is σ = 2765178017280. Its totient is φ = 151167098880.

The previous prime is 675738337667. The next prime is 675738337723. The reversal of 675738337680 is 86733837576.

675738337680 is a `hidden beast` number, since 67 + 57 + 3 + 83 + 376 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4906560 + ... + 5042400.

It is an arithmetic number, because the mean of its divisors is an integer number (5760787536).

Almost surely, 2^675738337680 is an apocalyptic number.

675738337680 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 675738337680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382589008640).

675738337680 is an abundant number, since it is smaller than the sum of its proper divisors (2089439679600).

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

675738337680 is a wasteful number, since it uses less digits than its factorization.

675738337680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135924 (or 135905 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 675738337680 in words is "six hundred seventy-five billion, seven hundred thirty-eight million, three hundred thirty-seven thousand, six hundred eighty".