61973960192640 has 768 divisors, whose sum is σ = 229251662640000. Its totient is φ = 15380038287360.

The previous prime is 61973960192633. The next prime is 61973960192647. The reversal of 61973960192640 is 4629106937916.

61973960192640 is a `hidden beast` number, since 6 + 19 + 7 + 3 + 9 + 601 + 9 + 2 + 6 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61973960192633) and next prime (61973960192647).

It is not an unprimeable number, because it can be changed into a prime (61973960192647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12197194900 + ... + 12197199980.

Almost surely, 2^{61973960192640} is an apocalyptic number.

61973960192640 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 61973960192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114625831320000).

61973960192640 is an abundant number, since it is smaller than the sum of its proper divisors (167277702447360).

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

61973960192640 is a wasteful number, since it uses less digits than its factorization.

61973960192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7073 (or 7058 counting only the distinct ones).

The product of its (nonzero) digits is 26453952, while the sum is 63.

The spelling of 61973960192640 in words is "sixty-one trillion, nine hundred seventy-three billion, nine hundred sixty million, one hundred ninety-two thousand, six hundred forty".