61948862977600 has 63 divisors (see below), whose sum is σ = 152433695647747. Its totient is φ = 24779419258880.

The previous prime is 61948862977597. The next prime is 61948862977627. The reversal of 61948862977600 is 677926884916.

The square root of 61948862977600 is 7870760.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8038495130176 + 53910367847424 = 2835224^2 + 7342368^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 314732016 + ... + 314928784.

Almost surely, 2^{61948862977600} is an apocalyptic number.

61948862977600 is the 7870760-th square number.

It is an amenable number.

61948862977600 is an abundant number, since it is smaller than the sum of its proper divisors (90484832670147).

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

61948862977600 is an frugal number, since it uses more digits than its factorization.

61948862977600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393560 (or 196776 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 73.

The spelling of 61948862977600 in words is "sixty-one trillion, nine hundred forty-eight billion, eight hundred sixty-two million, nine hundred seventy-seven thousand, six hundred".