337407420672 has 720 divisors, whose sum is σ = 1183064420160. Its totient is φ = 96018048000.

The previous prime is 337407420671. The next prime is 337407420733. The reversal of 337407420672 is 276024704733.

337407420672 is a `hidden beast` number, since 3 + 37 + 407 + 4 + 206 + 7 + 2 = 666.

It is a super-2 number, since 2×337407420672² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (337407420671) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1344252547 + ... + 1344252797.

It is an arithmetic number, because the mean of its divisors is an integer number (1643145028).

Almost surely, 2^337407420672 is an apocalyptic number.

337407420672 is a gapful number since it is divisible by the number (32) 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 337407420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591532210080).

337407420672 is an abundant number, since it is smaller than the sum of its proper divisors (845656999488).

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

337407420672 is an frugal number, since it uses more digits than its factorization.

337407420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 337407420672 in words is "three hundred thirty-seven billion, four hundred seven million, four hundred twenty thousand, six hundred seventy-two".