336976061760 has 896 divisors, whose sum is σ = 1414648488960. Its totient is φ = 74664640512.

The previous prime is 336976061687. The next prime is 336976061767. The reversal of 336976061760 is 67160679633.

It is a super-2 number, since 2×336976061760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 336976061697 and 336976061706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336976061767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 43913284 + ... + 43920956.

It is an arithmetic number, because the mean of its divisors is an integer number (1578848760).

Almost surely, 2^336976061760 is an apocalyptic number.

336976061760 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 336976061760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707324244480).

336976061760 is an abundant number, since it is smaller than the sum of its proper divisors (1077672427200).

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

336976061760 is a wasteful number, since it uses less digits than its factorization.

336976061760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7752 (or 7736 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 54.

The spelling of 336976061760 in words is "three hundred thirty-six billion, nine hundred seventy-six million, sixty-one thousand, seven hundred sixty".