337880068900920 has 4608 divisors, whose sum is σ = 1508433518592000. Its totient is φ = 66217718661120.

The previous prime is 337880068900903. The next prime is 337880068900939. The reversal of 337880068900920 is 29009860088733.

It is a super-2 number, since 2×337880068900920² (a number of 30 digits) contains 22 as substring.

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 1151 ways as a sum of consecutive naturals, for example, 3099817145826 + ... + 3099817145934.

It is an arithmetic number, because the mean of its divisors is an integer number (327351024000).

Almost surely, 2^{337880068900920} is an apocalyptic number.

337880068900920 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 337880068900920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754216759296000).

337880068900920 is an abundant number, since it is smaller than the sum of its proper divisors (1170553449691080).

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

337880068900920 is a wasteful number, since it uses less digits than its factorization.

337880068900920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 337880068900920 in words is "three hundred thirty-seven trillion, eight hundred eighty billion, sixty-eight million, nine hundred thousand, nine hundred twenty".