742276347740928 has 1944 divisors, whose sum is σ = 2981240036938800. Its totient is φ = 175526809436160.

The previous prime is 742276347740923. The next prime is 742276347740951. The reversal of 742276347740928 is 829047743672247.

It is a happy number.

742276347740928 is a `hidden beast` number, since 7 + 4 + 2 + 2 + 7 + 63 + 477 + 4 + 0 + 92 + 8 = 666.

It is a super-2 number, since 2×742276347740928² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (742276347740923) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 15320753248 + ... + 15320801696.

Almost surely, 2^{742276347740928} is an apocalyptic number.

742276347740928 is a gapful number since it is divisible by the number (78) 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 742276347740928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490620018469400).

742276347740928 is an abundant number, since it is smaller than the sum of its proper divisors (2238963689197872).

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

742276347740928 is a wasteful number, since it uses less digits than its factorization.

742276347740928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48595 (or 48558 counting only the distinct ones).

The product of its (nonzero) digits is 1593188352, while the sum is 72.

The spelling of 742276347740928 in words is "seven hundred forty-two trillion, two hundred seventy-six billion, three hundred forty-seven million, seven hundred forty thousand, nine hundred twenty-eight".