7679508480000 has 1760 divisors, whose sum is σ = 33543686584320. Its totient is φ = 1698693120000.

The previous prime is 7679508479977. The next prime is 7679508480041. The reversal of 7679508480000 is 848059767.

7679508480000 is a `hidden beast` number, since 76 + 7 + 95 + 0 + 8 + 480 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 247726079985 + ... + 247726080015.

It is an arithmetic number, because the mean of its divisors is an integer number (19058912832).

Almost surely, 2^{7679508480000} is an apocalyptic number.

7679508480000 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 7679508480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16771843292160).

7679508480000 is an abundant number, since it is smaller than the sum of its proper divisors (25864178104320).

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

7679508480000 is an frugal number, since it uses more digits than its factorization.

7679508480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 7679508480000 in words is "seven trillion, six hundred seventy-nine billion, five hundred eight million, four hundred eighty thousand".