336653790480 has 720 divisors, whose sum is σ = 1353790923264. Its totient is φ = 74724249600.

The previous prime is 336653790479. The next prime is 336653790481. The reversal of 336653790480 is 84097356633.

336653790480 is a `hidden beast` number, since 3 + 3 + 66 + 537 + 9 + 0 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (336653790479) and next prime (336653790481).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×336653790480² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336653790481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 172553505 + ... + 172555455.

Almost surely, 2^336653790480 is an apocalyptic number.

336653790480 is a gapful number since it is divisible by the number (30) 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 336653790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676895461632).

336653790480 is an abundant number, since it is smaller than the sum of its proper divisors (1017137132784).

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

336653790480 is a wasteful number, since it uses less digits than its factorization.

336653790480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2124 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 336653790480 in words is "three hundred thirty-six billion, six hundred fifty-three million, seven hundred ninety thousand, four hundred eighty".