7663437512640 has 672 divisors, whose sum is σ = 34350251644800. Its totient is φ = 1521788387328.

The previous prime is 7663437512611. The next prime is 7663437512641. The reversal of 7663437512640 is 462157343667.

7663437512640 is a `hidden beast` number, since 7 + 6 + 6 + 3 + 4 + 375 + 1 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7663437512641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3595336 + ... + 5315384.

It is an arithmetic number, because the mean of its divisors is an integer number (51116445900).

Almost surely, 2^{7663437512640} is an apocalyptic number.

7663437512640 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 7663437512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175125822400).

7663437512640 is an abundant number, since it is smaller than the sum of its proper divisors (26686814132160).

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

7663437512640 is a wasteful number, since it uses less digits than its factorization.

7663437512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720109 (or 1720096 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 7663437512640 in words is "seven trillion, six hundred sixty-three billion, four hundred thirty-seven million, five hundred twelve thousand, six hundred forty".