7379527680 has 960 divisors, whose sum is σ = 31965373440. Its totient is φ = 1592524800.

The previous prime is 7379527679. The next prime is 7379527693. The reversal of 7379527680 is 867259737.

7379527680 is a `hidden beast` number, since 7 + 37 + 9 + 527 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 179988460 + ... + 179988500.

It is an arithmetic number, because the mean of its divisors is an integer number (33297264).

Almost surely, 2^7379527680 is an apocalyptic number.

7379527680 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 7379527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982686720).

7379527680 is an abundant number, since it is smaller than the sum of its proper divisors (24585845760).

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

7379527680 is a wasteful number, since it uses less digits than its factorization.

7379527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 7379527680 is about 85904.1773140282. The cubic root of 7379527680 is about 1946.8964596020.

It can be divided in two parts, 73795 and 27680, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 7379527680 in words is "seven billion, three hundred seventy-nine million, five hundred twenty-seven thousand, six hundred eighty".