61003720512 has 840 divisors, whose sum is σ = 222441381888. Its totient is φ = 16460236800.

The previous prime is 61003720457. The next prime is 61003720513. The reversal of 61003720512 is 21502730016.

It is a happy number.

61003720512 is a `hidden beast` number, since 610 + 0 + 37 + 2 + 0 + 5 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61003720513) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 480344193 + ... + 480344319.

Almost surely, 2^61003720512 is an apocalyptic number.

61003720512 is a gapful number since it is divisible by the number (62) 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 61003720512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111220690944).

61003720512 is an abundant number, since it is smaller than the sum of its proper divisors (161437661376).

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

61003720512 is a wasteful number, since it uses less digits than its factorization.

61003720512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 61003720512 in words is "sixty-one billion, three million, seven hundred twenty thousand, five hundred twelve".