7737808849920 has 880 divisors, whose sum is σ = 28676424113568. Its totient is φ = 1993805660160.

The previous prime is 7737808849907. The next prime is 7737808849921. The reversal of 7737808849920 is 299488087377.

7737808849920 is a `hidden beast` number, since 7 + 7 + 37 + 8 + 0 + 88 + 499 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (7737808849921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1819374514 + ... + 1819378766.

Almost surely, 2^{7737808849920} 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 7737808849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14338212056784).

7737808849920 is an abundant number, since it is smaller than the sum of its proper divisors (20938615263648).

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

7737808849920 is a wasteful number, since it uses less digits than its factorization.

7737808849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4438 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 341397504, while the sum is 72.

The spelling of 7737808849920 in words is "seven trillion, seven hundred thirty-seven billion, eight hundred eight million, eight hundred forty-nine thousand, nine hundred twenty".