61673522501040 has 160 divisors (see below), whose sum is σ = 193631230349760. Its totient is φ = 16236924567552.

The previous prime is 61673522501029. The next prime is 61673522501057. The reversal of 61673522501040 is 4010522537616.

61673522501040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×61673522501040⁵ (a number of 70 digits) contains 55555 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61673522500983 and 61673522501001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6282882 + ... + 12760158.

It is an arithmetic number, because the mean of its divisors is an integer number (1210195189686).

Almost surely, 2^{61673522501040} is an apocalyptic number.

61673522501040 is a gapful number since it is divisible by the number (60) 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 61673522501040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96815615174880).

61673522501040 is an abundant number, since it is smaller than the sum of its proper divisors (131957707848720).

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

61673522501040 is a wasteful number, since it uses less digits than its factorization.

61673522501040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6477799 (or 6477793 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 61673522501040 in words is "sixty-one trillion, six hundred seventy-three billion, five hundred twenty-two million, five hundred one thousand, forty".