61458703740 has 432 divisors, whose sum is σ = 223020749952. Its totient is φ = 13652174592.

The previous prime is 61458703711. The next prime is 61458703753. The reversal of 61458703740 is 4730785416.

61458703740 is a `hidden beast` number, since 61 + 4 + 587 + 0 + 3 + 7 + 4 + 0 = 666.

It is a super-3 number, since 3×61458703740³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131602987 + ... + 131603453.

It is an arithmetic number, because the mean of its divisors is an integer number (516251736).

Almost surely, 2^61458703740 is an apocalyptic number.

61458703740 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 61458703740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111510374976).

61458703740 is an abundant number, since it is smaller than the sum of its proper divisors (161562046212).

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

61458703740 is a wasteful number, since it uses less digits than its factorization.

61458703740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 61458703740 in words is "sixty-one billion, four hundred fifty-eight million, seven hundred three thousand, seven hundred forty".