735421680 has 400 divisors, whose sum is σ = 3019044864. Its totient is φ = 162362880.

The previous prime is 735421669. The next prime is 735421723. The reversal of 735421680 is 86124537.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1405899 + ... + 1406421.

Almost surely, 2^735421680 is an apocalyptic number.

735421680 is a gapful number since it is divisible by the number (70) 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 735421680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509522432).

735421680 is an abundant number, since it is smaller than the sum of its proper divisors (2283623184).

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

735421680 is a wasteful number, since it uses less digits than its factorization.

735421680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 735421680 is about 27118.6592588941. The cubic root of 735421680 is about 902.6349447671.

The spelling of 735421680 in words is "seven hundred thirty-five million, four hundred twenty-one thousand, six hundred eighty".