7965212640000 has 2160 divisors, whose sum is σ = 35613833625216. Its totient is φ = 1556889600000.

The previous prime is 7965212639999. The next prime is 7965212640013. The reversal of 7965212640000 is 462125697.

It is a super-2 number, since 2×7965212640000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4398239095 + ... + 4398240905.

Almost surely, 2^{7965212640000} is an apocalyptic number.

7965212640000 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 7965212640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17806916812608).

7965212640000 is an abundant number, since it is smaller than the sum of its proper divisors (27648620985216).

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

7965212640000 is a wasteful number, since it uses less digits than its factorization.

7965212640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

Adding to 7965212640000 its reverse (462125697), we get a palindrome (7965674765697).

The spelling of 7965212640000 in words is "seven trillion, nine hundred sixty-five billion, two hundred twelve million, six hundred forty thousand".