61456625370 has 640 divisors, whose sum is σ = 219793305600. Its totient is φ = 11972302848.

The previous prime is 61456625317. The next prime is 61456625371. The reversal of 61456625370 is 7352665416.

61456625370 is a `hidden beast` number, since 6 + 1 + 4 + 56 + 62 + 537 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61456625371) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 42121701 + ... + 42123159.

It is an arithmetic number, because the mean of its divisors is an integer number (343427040).

Almost surely, 2^61456625370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61456625370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109896652800).

61456625370 is an abundant number, since it is smaller than the sum of its proper divisors (158336680230).

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

61456625370 is a wasteful number, since it uses less digits than its factorization.

61456625370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

It can be divided in two parts, 614566 and 25370, that added together give a palindrome (639936).

The spelling of 61456625370 in words is "sixty-one billion, four hundred fifty-six million, six hundred twenty-five thousand, three hundred seventy".