7954701286464 has 63 divisors (see below), whose sum is σ = 22800908994357. Its totient is φ = 2651544532224.

The previous prime is 7954701286409. The next prime is 7954701286487. The reversal of 7954701286464 is 4646821074597.

The square root of 7954701286464 is 2820408.

It is a perfect power (a square), and thus also a powerful number.

7954701286464 is a `hidden beast` number, since 7 + 9 + 5 + 47 + 0 + 128 + 6 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1222793640000 + 6731907646464 = 1105800^2 + 2594592^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67631034 + ... + 67748550.

Almost surely, 2^{7954701286464} is an apocalyptic number.

7954701286464 is the 2820408-th square number.

It is an amenable number.

7954701286464 is an abundant number, since it is smaller than the sum of its proper divisors (14846207707893).

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

7954701286464 is an frugal number, since it uses more digits than its factorization.

7954701286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235052 (or 117522 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 7954701286464 in words is "seven trillion, nine hundred fifty-four billion, seven hundred one million, two hundred eighty-six thousand, four hundred sixty-four".