7961625840 has 240 divisors, whose sum is σ = 29638103040. Its totient is φ = 1761016320.

The previous prime is 7961625839. The next prime is 7961625853. The reversal of 7961625840 is 485261697.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7961625840.

It is a congruent number.

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, 353641 + ... + 375479.

It is an arithmetic number, because the mean of its divisors is an integer number (123492096).

Almost surely, 2^7961625840 is an apocalyptic number.

7961625840 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 7961625840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819051520).

7961625840 is an abundant number, since it is smaller than the sum of its proper divisors (21676477200).

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

7961625840 is a wasteful number, since it uses less digits than its factorization.

7961625840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21900 (or 21887 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 7961625840 is about 89227.9431568385. The cubic root of 7961625840 is about 1996.7970265522.

The spelling of 7961625840 in words is "seven billion, nine hundred sixty-one million, six hundred twenty-five thousand, eight hundred forty".