61024671882480 has 320 divisors, whose sum is σ = 206863189908480. Its totient is φ = 14828896051200.

The previous prime is 61024671882469. The next prime is 61024671882497. The reversal of 61024671882480 is 8428817642016.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 61024671882480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10975534 + ... + 15572786.

It is an arithmetic number, because the mean of its divisors is an integer number (646447468464).

Almost surely, 2^{61024671882480} is an apocalyptic number.

61024671882480 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 61024671882480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103431594954240).

61024671882480 is an abundant number, since it is smaller than the sum of its proper divisors (145838518026000).

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

61024671882480 is a wasteful number, since it uses less digits than its factorization.

61024671882480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597400 (or 4597394 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 61024671882480 in words is "sixty-one trillion, twenty-four billion, six hundred seventy-one million, eight hundred eighty-two thousand, four hundred eighty".