667403662590 has 192 divisors, whose sum is σ = 2095876192320. Its totient is φ = 152549163648.

The previous prime is 667403662579. The next prime is 667403662603. The reversal of 667403662590 is 95266304766.

667403662590 is a `hidden beast` number, since 6 + 6 + 7 + 4 + 0 + 3 + 6 + 625 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 760234 + ... + 1383026.

It is an arithmetic number, because the mean of its divisors is an integer number (10916021835).

Almost surely, 2^667403662590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 667403662590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047938096160).

667403662590 is an abundant number, since it is smaller than the sum of its proper divisors (1428472529730).

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

667403662590 is an equidigital number, since it uses as much as digits as its factorization.

667403662590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622835 (or 622810 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 667403662590 in words is "six hundred sixty-seven billion, four hundred three million, six hundred sixty-two thousand, five hundred ninety".