7024736540664 has 256 divisors, whose sum is σ = 19892500992000. Its totient is φ = 2296515957120.

The previous prime is 7024736540659. The next prime is 7024736540719. The reversal of 7024736540664 is 4660456374207.

7024736540664 is a `hidden beast` number, since 7 + 0 + 2 + 4 + 7 + 36 + 540 + 6 + 64 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 7024736540664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2333022919 + ... + 2333025929.

It is an arithmetic number, because the mean of its divisors is an integer number (77705082000).

Almost surely, 2^{7024736540664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7024736540664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9946250496000).

7024736540664 is an abundant number, since it is smaller than the sum of its proper divisors (12867764451336).

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

7024736540664 is a wasteful number, since it uses less digits than its factorization.

7024736540664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4015 (or 4005 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 7024736540664 in words is "seven trillion, twenty-four billion, seven hundred thirty-six million, five hundred forty thousand, six hundred sixty-four".