7465541372640 has 1152 divisors, whose sum is σ = 28913552059392. Its totient is φ = 1808132751360.

The previous prime is 7465541372629. The next prime is 7465541372689. The reversal of 7465541372640 is 462731455647.

7465541372640 is a `hidden beast` number, since 7 + 4 + 6 + 5 + 541 + 37 + 2 + 64 + 0 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 9071131269 + ... + 9071132091.

It is an arithmetic number, because the mean of its divisors is an integer number (25098569496).

Almost surely, 2^{7465541372640} 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 7465541372640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14456776029696).

7465541372640 is an abundant number, since it is smaller than the sum of its proper divisors (21448010686752).

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

7465541372640 is a wasteful number, since it uses less digits than its factorization.

7465541372640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 54.

The spelling of 7465541372640 in words is "seven trillion, four hundred sixty-five billion, five hundred forty-one million, three hundred seventy-two thousand, six hundred forty".