7721642040 has 64 divisors (see below), whose sum is σ = 26474204160. Its totient is φ = 1764946560.

The previous prime is 7721642021. The next prime is 7721642083. The reversal of 7721642040 is 402461277.

It is a junction number, because it is equal to n+sod(n) for n = 7721641992 and 7721642010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4595376 + ... + 4597055.

It is an arithmetic number, because the mean of its divisors is an integer number (413659440).

Almost surely, 2^7721642040 is an apocalyptic number.

7721642040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7721642040 is an abundant number, since it is smaller than the sum of its proper divisors (18752562120).

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

7721642040 is a wasteful number, since it uses less digits than its factorization.

7721642040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9192452 (or 9192448 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 7721642040 is about 87872.8743128390. The cubic root of 7721642040 is about 1976.5291401743.

The spelling of 7721642040 in words is "seven billion, seven hundred twenty-one million, six hundred forty-two thousand, forty".