61008621278976 has 360 divisors, whose sum is σ = 215073910017120. Its totient is φ = 16829963329536.

The previous prime is 61008621278959. The next prime is 61008621279019. The reversal of 61008621278976 is 67987212680016.

61008621278976 is a `hidden beast` number, since 610 + 0 + 8 + 6 + 2 + 1 + 2 + 7 + 8 + 9 + 7 + 6 = 666.

61008621278976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3037291 + ... + 11456106.

Almost surely, 2^{61008621278976} 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 61008621278976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107536955008560).

61008621278976 is an abundant number, since it is smaller than the sum of its proper divisors (154065288738144).

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

61008621278976 is a wasteful number, since it uses less digits than its factorization.

61008621278976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14493461 (or 14493438 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 61008621278976 in words is "sixty-one trillion, eight billion, six hundred twenty-one million, two hundred seventy-eight thousand, nine hundred seventy-six".