4672045349730 has 768 divisors, whose sum is σ = 14935145472000. Its totient is φ = 999942451200.

The previous prime is 4672045349681. The next prime is 4672045349759. The reversal of 4672045349730 is 379435402764.

It is a happy number.

4672045349730 is a `hidden beast` number, since 4 + 6 + 72 + 0 + 4 + 53 + 497 + 30 = 666.

It is a super-2 number, since 2×4672045349730² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2733788116 + ... + 2733789824.

It is an arithmetic number, because the mean of its divisors is an integer number (19446804000).

Almost surely, 2^{4672045349730} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4672045349730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467572736000).

4672045349730 is an abundant number, since it is smaller than the sum of its proper divisors (10263100122270).

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

4672045349730 is a wasteful number, since it uses less digits than its factorization.

4672045349730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 4672045349730 in words is "four trillion, six hundred seventy-two billion, forty-five million, three hundred forty-nine thousand, seven hundred thirty".