7132691744640 has 512 divisors, whose sum is σ = 31495008384000. Its totient is φ = 1482117488640.

The previous prime is 7132691744599. The next prime is 7132691744641. The reversal of 7132691744640 is 464471962317.

7132691744640 is a `hidden beast` number, since 7 + 1 + 3 + 2 + 6 + 9 + 174 + 464 + 0 = 666.

It is a super-3 number, since 3×7132691744640³ (a number of 40 digits) contains 333 as substring.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (7132691744641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1349775 + ... + 4010894.

It is an arithmetic number, because the mean of its divisors is an integer number (61513688250).

Almost surely, 2^{7132691744640} is an apocalyptic number.

7132691744640 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 7132691744640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15747504192000).

7132691744640 is an abundant number, since it is smaller than the sum of its proper divisors (24362316639360).

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

7132691744640 is a wasteful number, since it uses less digits than its factorization.

7132691744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360715 (or 5360697 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 7132691744640 in words is "seven trillion, one hundred thirty-two billion, six hundred ninety-one million, seven hundred forty-four thousand, six hundred forty".