7956094218240 has 624 divisors, whose sum is σ = 31171318369920. Its totient is φ = 1722811023360.

The previous prime is 7956094218227. The next prime is 7956094218269. The reversal of 7956094218240 is 428124906597.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 57131095 + ... + 57270185.

Almost surely, 2^{7956094218240} is an apocalyptic number.

7956094218240 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 7956094218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15585659184960).

7956094218240 is an abundant number, since it is smaller than the sum of its proper divisors (23215224151680).

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

7956094218240 is a wasteful number, since it uses less digits than its factorization.

7956094218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139156 (or 139127 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 7956094218240 in words is "seven trillion, nine hundred fifty-six billion, ninety-four million, two hundred eighteen thousand, two hundred forty".