673761561948 has 192 divisors, whose sum is σ = 1812251750400. Its totient is φ = 216321822720.

The previous prime is 673761561943. The next prime is 673761561973. The reversal of 673761561948 is 849165167376.

673761561948 is a `hidden beast` number, since 6 + 7 + 3 + 7 + 6 + 1 + 5 + 619 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (45722880) is a multiple of the sum of its prime divisors (3969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (673761561943) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200582293 + ... + 200585651.

It is an arithmetic number, because the mean of its divisors is an integer number (9438811200).

Almost surely, 2^673761561948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 673761561948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906125875200).

673761561948 is an abundant number, since it is smaller than the sum of its proper divisors (1138490188452).

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

673761561948 is a wasteful number, since it uses less digits than its factorization.

673761561948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3977 (or 3969 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 673761561948 in words is "six hundred seventy-three billion, seven hundred sixty-one million, five hundred sixty-one thousand, nine hundred forty-eight".