7894262960640 has 1440 divisors, whose sum is σ = 33708595480560. Its totient is φ = 1699400908800.

The previous prime is 7894262960629. The next prime is 7894262960653. The reversal of 7894262960640 is 460692624987.

7894262960640 is a `hidden beast` number, since 7 + 89 + 426 + 2 + 96 + 0 + 6 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2718383157504 + 5175879803136 = 1648752^2 + 2275056^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1342330500 + ... + 1342336380.

Almost surely, 2^{7894262960640} is an apocalyptic number.

7894262960640 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 7894262960640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16854297740280).

7894262960640 is an abundant number, since it is smaller than the sum of its proper divisors (25814332519920).

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

7894262960640 is a wasteful number, since it uses less digits than its factorization.

7894262960640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5994 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 7894262960640 in words is "seven trillion, eight hundred ninety-four billion, two hundred sixty-two million, nine hundred sixty thousand, six hundred forty".