7621131840 has 224 divisors, whose sum is σ = 27823509504. Its totient is φ = 1731287040.

The previous prime is 7621131839. The next prime is 7621131883. The reversal of 7621131840 is 481311267.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1118845 + ... + 1125635.

It is an arithmetic number, because the mean of its divisors is an integer number (124212096).

Almost surely, 2^7621131840 is an apocalyptic number.

7621131840 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 7621131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13911754752).

7621131840 is an abundant number, since it is smaller than the sum of its proper divisors (20202377664).

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

7621131840 is a wasteful number, since it uses less digits than its factorization.

7621131840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6985 (or 6975 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 7621131840 is about 87299.0941533760. The cubic root of 7621131840 is about 1967.9157046319.

The spelling of 7621131840 in words is "seven billion, six hundred twenty-one million, one hundred thirty-one thousand, eight hundred forty".