61767042480 has 960 divisors, whose sum is σ = 267795859968. Its totient is φ = 12998983680.

The previous prime is 61767042479. The next prime is 61767042481. The reversal of 61767042480 is 8424076716.

61767042480 is a `hidden beast` number, since 61 + 7 + 6 + 70 + 42 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (61767042479) and next prime (61767042481).

It is a super-2 number, since 2×61767042480² (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 not an unprimeable number, because it can be changed into a prime (61767042481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 47257987 + ... + 47259293.

Almost surely, 2^61767042480 is an apocalyptic number.

61767042480 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 61767042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133897929984).

61767042480 is an abundant number, since it is smaller than the sum of its proper divisors (206028817488).

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

61767042480 is a wasteful number, since it uses less digits than its factorization.

61767042480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1358 counting only the distinct ones).

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

The spelling of 61767042480 in words is "sixty-one billion, seven hundred sixty-seven million, forty-two thousand, four hundred eighty".