60957721440 has 1152 divisors, whose sum is σ = 278993175552. Its totient is φ = 11731599360.

The previous prime is 60957721427. The next prime is 60957721469. The reversal of 60957721440 is 4412775906.

60957721440 is a `hidden beast` number, since 60 + 9 + 577 + 2 + 14 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137601859 + ... + 137602301.

It is an arithmetic number, because the mean of its divisors is an integer number (242181576).

Almost surely, 2^60957721440 is an apocalyptic number.

60957721440 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 60957721440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139496587776).

60957721440 is an abundant number, since it is smaller than the sum of its proper divisors (218035454112).

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

60957721440 is a wasteful number, since it uses less digits than its factorization.

60957721440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 60957721440 in words is "sixty billion, nine hundred fifty-seven million, seven hundred twenty-one thousand, four hundred forty".