4620937338720 has 576 divisors, whose sum is σ = 16935400145664. Its totient is φ = 1189056153600.

The previous prime is 4620937338673. The next prime is 4620937338733. The reversal of 4620937338720 is 278337390264.

4620937338720 is a `hidden beast` number, since 4 + 6 + 209 + 37 + 3 + 387 + 20 = 666.

It is a super-2 number, since 2×4620937338720² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138746070 + ... + 138779370.

It is an arithmetic number, because the mean of its divisors is an integer number (29401736364).

Almost surely, 2^{4620937338720} is an apocalyptic number.

4620937338720 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 4620937338720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8467700072832).

4620937338720 is an abundant number, since it is smaller than the sum of its proper divisors (12314462806944).

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

4620937338720 is a wasteful number, since it uses less digits than its factorization.

4620937338720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33457 (or 33437 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 4620937338720 in words is "four trillion, six hundred twenty billion, nine hundred thirty-seven million, three hundred thirty-eight thousand, seven hundred twenty".