7461358021632 has 176 divisors, whose sum is σ = 20042579849600. Its totient is φ = 2467714498560.

The previous prime is 7461358021627. The next prime is 7461358021679. The reversal of 7461358021632 is 2361208531647.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 858708744 + ... + 858717432.

It is an arithmetic number, because the mean of its divisors is an integer number (113878294600).

Almost surely, 2^{7461358021632} 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 7461358021632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10021289924800).

7461358021632 is an abundant number, since it is smaller than the sum of its proper divisors (12581221827968).

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

7461358021632 is a wasteful number, since it uses less digits than its factorization.

7461358021632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10862 (or 10844 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 7461358021632 in words is "seven trillion, four hundred sixty-one billion, three hundred fifty-eight million, twenty-one thousand, six hundred thirty-two".