7661371520 has 384 divisors, whose sum is σ = 21879244800. Its totient is φ = 2554675200.

The previous prime is 7661371499. The next prime is 7661371541. The reversal of 7661371520 is 251731667.

It is an interprime number because it is at equal distance from previous prime (7661371499) and next prime (7661371541).

It is a super-2 number, since 2×7661371520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60325697 + ... + 60325823.

It is an arithmetic number, because the mean of its divisors is an integer number (56977200).

Almost surely, 2^7661371520 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 7661371520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10939622400).

7661371520 is an abundant number, since it is smaller than the sum of its proper divisors (14217873280).

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

7661371520 is a wasteful number, since it uses less digits than its factorization.

7661371520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 7661371520 is about 87529.2609359864. The cubic root of 7661371520 is about 1971.3731671850.

The spelling of 7661371520 in words is "seven billion, six hundred sixty-one million, three hundred seventy-one thousand, five hundred twenty".