4616972325000 has 576 divisors, whose sum is σ = 18647425238400. Its totient is φ = 1055300400000.

The previous prime is 4616972324929. The next prime is 4616972325013. The reversal of 4616972325000 is 5232796164.

4616972325000 is a `hidden beast` number, since 4 + 61 + 69 + 7 + 23 + 2 + 500 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33005205 + ... + 33144795.

It is an arithmetic number, because the mean of its divisors is an integer number (32374002150).

Almost surely, 2^{4616972325000} is an apocalyptic number.

4616972325000 is a gapful number since it is divisible by the number (40) 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 4616972325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9323712619200).

4616972325000 is an abundant number, since it is smaller than the sum of its proper divisors (14030452913400).

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

4616972325000 is a wasteful number, since it uses less digits than its factorization.

4616972325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139645 (or 139608 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 4616972325000 in words is "four trillion, six hundred sixteen billion, nine hundred seventy-two million, three hundred twenty-five thousand".