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60778400680 = 2351723291031301
BaseRepresentation
bin111000100110101011…
…001100101110101000
312210212202021122202001
4320212223030232220
51443433232310210
643530552020344
74251100611304
oct704653145650
9183782248661
1060778400680
1123859906008
12b9426916b4
135967ab99ca
142d27dd8d04
1518aac6003a
hexe26accba8

60778400680 has 256 divisors, whose sum is σ = 157939891200. Its totient is φ = 20910489600.

The previous prime is 60778400671. The next prime is 60778400687. The reversal of 60778400680 is 8600487706.

60778400680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 60778400680.

It is not an unprimeable number, because it can be changed into a prime (60778400687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46716030 + ... + 46717330.

It is an arithmetic number, because the mean of its divisors is an integer number (616952700).

Almost surely, 260778400680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60778400680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78969945600).

60778400680 is an abundant number, since it is smaller than the sum of its proper divisors (97161490520).

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

60778400680 is a wasteful number, since it uses less digits than its factorization.

60778400680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 46.

The spelling of 60778400680 in words is "sixty billion, seven hundred seventy-eight million, four hundred thousand, six hundred eighty".