407673497088 has 960 divisors, whose sum is σ = 1483387057152. Its totient is φ = 105982525440.

The previous prime is 407673497083. The next prime is 407673497089. The reversal of 407673497088 is 880794376704.

407673497088 is a `hidden beast` number, since 4 + 0 + 7 + 67 + 3 + 497 + 0 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407673497083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 560760981 + ... + 560761707.

Almost surely, 2^407673497088 is an apocalyptic number.

407673497088 is a gapful number since it is divisible by the number (48) 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 407673497088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741693528576).

407673497088 is an abundant number, since it is smaller than the sum of its proper divisors (1075713560064).

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

407673497088 is a wasteful number, since it uses less digits than its factorization.

407673497088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 407673497088 in words is "four hundred seven billion, six hundred seventy-three million, four hundred ninety-seven thousand, eighty-eight".