146799792720 has 800 divisors, whose sum is σ = 623974348800. Its totient is φ = 31238618112.

The previous prime is 146799792703. The next prime is 146799792773. The reversal of 146799792720 is 27297997641.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 50847117 + ... + 50850003.

It is an arithmetic number, because the mean of its divisors is an integer number (779967936).

Almost surely, 2^146799792720 is an apocalyptic number.

146799792720 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 146799792720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311987174400).

146799792720 is an abundant number, since it is smaller than the sum of its proper divisors (477174556080).

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

146799792720 is a wasteful number, since it uses less digits than its factorization.

146799792720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 63.

The spelling of 146799792720 in words is "one hundred forty-six billion, seven hundred ninety-nine million, seven hundred ninety-two thousand, seven hundred twenty".