4628670750 has 512 divisors, whose sum is σ = 15688857600. Its totient is φ = 995328000.

The previous prime is 4628670743. The next prime is 4628670757. The reversal of 4628670750 is 570768264.

It is an interprime number because it is at equal distance from previous prime (4628670743) and next prime (4628670757).

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

It is a junction number, because it is equal to n+sod(n) for n = 4628670696 and 4628670705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4628670757) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 23982654 + ... + 23982846.

It is an arithmetic number, because the mean of its divisors is an integer number (30642300).

Almost surely, 2^4628670750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4628670750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7844428800).

4628670750 is an abundant number, since it is smaller than the sum of its proper divisors (11060186850).

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

4628670750 is a wasteful number, since it uses less digits than its factorization.

4628670750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 4628670750 is about 68034.3350816336. The cubic root of 4628670750 is about 1666.5515931661.

The spelling of 4628670750 in words is "four billion, six hundred twenty-eight million, six hundred seventy thousand, seven hundred fifty".