61977402240 has 512 divisors, whose sum is σ = 221358735360. Its totient is φ = 14646804480.

The previous prime is 61977402239. The next prime is 61977402259. The reversal of 61977402240 is 4220477916.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 61977402192 and 61977402201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133860249 + ... + 133860711.

It is an arithmetic number, because the mean of its divisors is an integer number (432341280).

Almost surely, 2^61977402240 is an apocalyptic number.

61977402240 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 61977402240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110679367680).

61977402240 is an abundant number, since it is smaller than the sum of its proper divisors (159381333120).

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

61977402240 is a wasteful number, since it uses less digits than its factorization.

61977402240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 61977402240 in words is "sixty-one billion, nine hundred seventy-seven million, four hundred two thousand, two hundred forty".