7680729661920 has 1536 divisors, whose sum is σ = 32197790822400. Its totient is φ = 1673648013312.

The previous prime is 7680729661919. The next prime is 7680729661921. The reversal of 7680729661920 is 291669270867.

7680729661920 is a `hidden beast` number, since 7 + 6 + 8 + 0 + 7 + 2 + 9 + 6 + 619 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7680729661919) and next prime (7680729661921).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7680729661921) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13642503559 + ... + 13642504121.

It is an arithmetic number, because the mean of its divisors is an integer number (20962103400).

Almost surely, 2^{7680729661920} is an apocalyptic number.

7680729661920 is a gapful number since it is divisible by the number (70) 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 7680729661920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16098895411200).

7680729661920 is an abundant number, since it is smaller than the sum of its proper divisors (24517061160480).

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

7680729661920 is a wasteful number, since it uses less digits than its factorization.

7680729661920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 7680729661920 in words is "seven trillion, six hundred eighty billion, seven hundred twenty-nine million, six hundred sixty-one thousand, nine hundred twenty".