7681403520 has 384 divisors, whose sum is σ = 30837456000. Its totient is φ = 1725456384.

The previous prime is 7681403503. The next prime is 7681403533. The reversal of 7681403520 is 253041867.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2377266 + ... + 2380494.

It is an arithmetic number, because the mean of its divisors is an integer number (80305875).

Almost surely, 2^7681403520 is an apocalyptic number.

7681403520 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 7681403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15418728000).

7681403520 is an abundant number, since it is smaller than the sum of its proper divisors (23156052480).

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

7681403520 is a wasteful number, since it uses less digits than its factorization.

7681403520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3320 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 7681403520 is about 87643.6165387988. The cubic root of 7681403520 is about 1973.0898388788.

The spelling of 7681403520 in words is "seven billion, six hundred eighty-one million, four hundred three thousand, five hundred twenty".