309072672000 has 504 divisors, whose sum is σ = 1154467041000. Its totient is φ = 82413158400.

The previous prime is 309072671969. The next prime is 309072672023. The reversal of 309072672000 is 276270903.

It can be written as a sum of positive squares in 4 ways, for example, as 34026967296 + 275045704704 = 184464^2 + 524448^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23321376 + ... + 23334624.

Almost surely, 2^309072672000 is an apocalyptic number.

309072672000 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 309072672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577233520500).

309072672000 is an abundant number, since it is smaller than the sum of its proper divisors (845394369000).

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

309072672000 is an frugal number, since it uses more digits than its factorization.

309072672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13298 (or 13259 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 309072672000 in words is "three hundred nine billion, seventy-two million, six hundred seventy-two thousand".