61474076820 has 216 divisors, whose sum is σ = 208534175304. Its totient is φ = 15131660544.

The previous prime is 61474076819. The next prime is 61474076821. The reversal of 61474076820 is 2867047416.

61474076820 is a `hidden beast` number, since 614 + 7 + 4 + 0 + 7 + 6 + 8 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (61474076819) and next prime (61474076821).

It can be written as a sum of positive squares in 4 ways, for example, as 680270724 + 60793806096 = 26082^2 + 246564^2 .

It is a super-2 number, since 2×61474076820² (a number of 22 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (61474076821) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1687842 + ... + 1723878.

Almost surely, 2^61474076820 is an apocalyptic number.

61474076820 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 61474076820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104267087652).

61474076820 is an abundant number, since it is smaller than the sum of its proper divisors (147060098484).

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

61474076820 is a wasteful number, since it uses less digits than its factorization.

61474076820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36083 (or 36060 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 61474076820 in words is "sixty-one billion, four hundred seventy-four million, seventy-six thousand, eight hundred twenty".