68790152003040 has 1152 divisors, whose sum is σ = 271967209113600. Its totient is φ = 16310459842560.

The previous prime is 68790152003033. The next prime is 68790152003093. The reversal of 68790152003040 is 4030025109786.

68790152003040 is a `hidden beast` number, since 6 + 8 + 7 + 90 + 1 + 520 + 0 + 30 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1637099151 + ... + 1637141169.

It is an arithmetic number, because the mean of its divisors is an integer number (236082646800).

It is a 1-persistent number, because it is pandigital, but 2⋅68790152003040 = 137580304006080 is not.

Almost surely, 2^{68790152003040} is an apocalyptic number.

68790152003040 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 68790152003040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135983604556800).

68790152003040 is an abundant number, since it is smaller than the sum of its proper divisors (203177057110560).

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

68790152003040 is a wasteful number, since it uses less digits than its factorization.

68790152003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42182 (or 42162 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 68790152003040 in words is "sixty-eight trillion, seven hundred ninety billion, one hundred fifty-two million, three thousand, forty".