61620485940 has 360 divisors, whose sum is σ = 210690999288. Its totient is φ = 15068851200.

The previous prime is 61620485923. The next prime is 61620485963. The reversal of 61620485940 is 4958402616.

61620485940 is a `hidden beast` number, since 6 + 16 + 2 + 0 + 48 + 594 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 42916094244 + 18704391696 = 207162^2 + 136764^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 47363290 + ... + 47364590.

Almost surely, 2^61620485940 is an apocalyptic number.

61620485940 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 61620485940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105345499644).

61620485940 is an abundant number, since it is smaller than the sum of its proper divisors (149070513348).

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

61620485940 is a wasteful number, since it uses less digits than its factorization.

61620485940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 61620485940 in words is "sixty-one billion, six hundred twenty million, four hundred eighty-five thousand, nine hundred forty".