667401735 has 64 divisors (see below), whose sum is σ = 1433779200. Its totient is φ = 256020480.

The previous prime is 667401719. The next prime is 667401743. The reversal of 667401735 is 537104766.

It is not a de Polignac number, because 667401735 - 2⁴ = 667401719 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 667401693 and 667401702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7210 + ... + 37239.

It is an arithmetic number, because the mean of its divisors is an integer number (22402800).

Almost surely, 2^667401735 is an apocalyptic number.

667401735 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

667401735 is an abundant number, since it is smaller than the sum of its proper divisors (766377465).

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

667401735 is a wasteful number, since it uses less digits than its factorization.

667401735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44488.

The product of its (nonzero) digits is 105840, while the sum is 39.

The square root of 667401735 is about 25834.1195901854. The cubic root of 667401735 is about 873.9014174722.

The spelling of 667401735 in words is "six hundred sixty-seven million, four hundred one thousand, seven hundred thirty-five".