4620415717960 has 256 divisors, whose sum is σ = 12637334361600. Its totient is φ = 1489322778624.

The previous prime is 4620415717933. The next prime is 4620415717997. The reversal of 4620415717960 is 697175140264.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4620415717898 and 4620415717907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2279434467 + ... + 2279436493.

It is an arithmetic number, because the mean of its divisors is an integer number (49364587350).

Almost surely, 2^{4620415717960} is an apocalyptic number.

4620415717960 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 4620415717960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318667180800).

4620415717960 is an abundant number, since it is smaller than the sum of its proper divisors (8016918643640).

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

4620415717960 is a wasteful number, since it uses less digits than its factorization.

4620415717960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 4620415717960 in words is "four trillion, six hundred twenty billion, four hundred fifteen million, seven hundred seventeen thousand, nine hundred sixty".