672457904640 has 240 divisors, whose sum is σ = 2415169044288. Its totient is φ = 179321942016.

The previous prime is 672457904639. The next prime is 672457904641. The reversal of 672457904640 is 46409754276.

672457904640 is a `hidden beast` number, since 6 + 7 + 2 + 4 + 579 + 0 + 4 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (672457904639) and next prime (672457904641).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (672457904641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81589 + ... + 1162571.

Almost surely, 2^672457904640 is an apocalyptic number.

672457904640 is a gapful number since it is divisible by the number (60) 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 672457904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207584522144).

672457904640 is an abundant number, since it is smaller than the sum of its proper divisors (1742711139648).

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

672457904640 is an equidigital number, since it uses as much as digits as its factorization.

672457904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081021 (or 1080993 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 672457904640 in words is "six hundred seventy-two billion, four hundred fifty-seven million, nine hundred four thousand, six hundred forty".