146726743680 has 768 divisors, whose sum is σ = 577414656000. Its totient is φ = 35309260800.

The previous prime is 146726743661. The next prime is 146726743711. The reversal of 146726743680 is 86347627641.

146726743680 is a `hidden beast` number, since 1 + 4 + 6 + 72 + 67 + 436 + 80 = 666.

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 95 ways as a sum of consecutive naturals, for example, 340433065 + ... + 340433495.

It is an arithmetic number, because the mean of its divisors is an integer number (751842000).

Almost surely, 2^146726743680 is an apocalyptic number.

146726743680 is a gapful number since it is divisible by the number (10) 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 146726743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288707328000).

146726743680 is an abundant number, since it is smaller than the sum of its proper divisors (430687912320).

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

146726743680 is a wasteful number, since it uses less digits than its factorization.

146726743680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 146726743680 in words is "one hundred forty-six billion, seven hundred twenty-six million, seven hundred forty-three thousand, six hundred eighty".