146779321950720 has 640 divisors, whose sum is σ = 538445488711680. Its totient is φ = 37860613816320.

The previous prime is 146779321950707. The next prime is 146779321950721. The reversal of 146779321950720 is 27059123977641.

146779321950720 is a `hidden beast` number, since 1 + 4 + 6 + 7 + 7 + 93 + 2 + 19 + 507 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×146779321950720² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146779321950721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4870387492 + ... + 4870417628.

It is an arithmetic number, because the mean of its divisors is an integer number (841321076112).

Almost surely, 2^{146779321950720} is an apocalyptic number.

146779321950720 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 146779321950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269222744355840).

146779321950720 is an abundant number, since it is smaller than the sum of its proper divisors (391666166760960).

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

146779321950720 is a wasteful number, since it uses less digits than its factorization.

146779321950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32473 (or 32451 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 146779321950720 in words is "one hundred forty-six trillion, seven hundred seventy-nine billion, three hundred twenty-one million, nine hundred fifty thousand, seven hundred twenty".