7961990400000 has 3456 divisors, whose sum is σ = 37262115072000. Its totient is φ = 1625702400000.

The previous prime is 7961990399999. The next prime is 7961990400037. The reversal of 7961990400000 is 40991697.

It is a super-2 number, since 2×7961990400000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 256838399985 + ... + 256838400015.

It is an arithmetic number, because the mean of its divisors is an integer number (10781862000).

Almost surely, 2^{7961990400000} is an apocalyptic number.

7961990400000 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 7961990400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18631057536000).

7961990400000 is an abundant number, since it is smaller than the sum of its proper divisors (29300124672000).

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

7961990400000 is an equidigital number, since it uses as much as digits as its factorization.

7961990400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 7961990400000 in words is "seven trillion, nine hundred sixty-one billion, nine hundred ninety million, four hundred thousand".