4628480693760 has 3600 divisors, whose sum is σ = 22279763566368. Its totient is φ = 898661744640.

The previous prime is 4628480693737. The next prime is 4628480693773. The reversal of 4628480693760 is 673960848264.

4628480693760 is a `hidden beast` number, since 4 + 6 + 2 + 8 + 480 + 6 + 93 + 7 + 60 = 666.

It is a super-3 number, since 3×4628480693760³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 63403845084 + ... + 63403845156.

Almost surely, 2^{4628480693760} is an apocalyptic number.

4628480693760 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 4628480693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11139881783184).

4628480693760 is an abundant number, since it is smaller than the sum of its proper divisors (17651282872608).

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

4628480693760 is a wasteful number, since it uses less digits than its factorization.

4628480693760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 4628480693760 in words is "four trillion, six hundred twenty-eight billion, four hundred eighty million, six hundred ninety-three thousand, seven hundred sixty".